How to plot polar formed complex numbers?TikZ node shape depends on inside textPolar plot: label and legend rotationtikz and polar plotTikz plot polar equation with foreachNot getting the correct polar plottikzpicture polar plot with negative function valuesPolar plot using pgfplots/tikzQuiver plot in polar coordinatesSurface plot over complex planePlot a Polar Cordinate Node pointPGFPlots: Background color for polar plot

Is infinity mathematically observable?

Is there an Impartial Brexit Deal comparison site?

I2C signal and power over long range (10meter cable)

How to interpret the phrase "t’en a fait voir à toi"?

Can the harmonic series explain the origin of the major scale?

Should my PhD thesis be submitted under my legal name?

How do ultrasonic sensors differentiate between transmitted and received signals?

Could solar power be utilized and substitute coal in the 19th century?

Hostile work environment after whistle-blowing on coworker and our boss. What do I do?

What should I use for Mishna study?

Are taller landing gear bad for aircraft, particulary large airliners?

What is Sitecore Managed Cloud?

Simple recursive Sudoku solver

Resetting two CD4017 counters simultaneously, only one resets

Is a naturally all "male" species possible?

Why are all the doors on Ferenginar (the Ferengi home world) far shorter than the average Ferengi?

Can a controlled ghast be a leader of a pack of ghouls?

A social experiment. What is the worst that can happen?

What to do when my ideas aren't chosen, when I strongly disagree with the chosen solution?

Teaching indefinite integrals that require special-casing

The One-Electron Universe postulate is true - what simple change can I make to change the whole universe?

Can I Retrieve Email Addresses from BCC?

Simple image editor tool to draw a simple box/rectangle in an existing image

What was required to accept "troll"?



How to plot polar formed complex numbers?


TikZ node shape depends on inside textPolar plot: label and legend rotationtikz and polar plotTikz plot polar equation with foreachNot getting the correct polar plottikzpicture polar plot with negative function valuesPolar plot using pgfplots/tikzQuiver plot in polar coordinatesSurface plot over complex planePlot a Polar Cordinate Node pointPGFPlots: Background color for polar plot













7















I would like to draw the figure below in LaTeX and am having a bit of a difficulty. How can I do it?



Enter image description here



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
begindocument
begintitlepage
[]
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIÁVEIS COMPLEXAS
beginfigure[H]
centering
[
includegraphics[width=100mm]./Figuras/capa5.png
]
endfigure

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


After doing the code, how do I put it in place of begin figure [H]
centering
[
includegraphics [width = 100mm] ./ Figures / layer5.png
]
end figure
so you do not need figures?










share|improve this question



















  • 2





    @close-voters: Please add a comment about the reason to close vote! I voted for leave open!

    – Kurt
    Mar 16 at 16:29







  • 1





    @Kurt I agree with you. I also ask questions where I don't know where to start.

    – Sebastiano
    Mar 16 at 16:50











  • This question could benefit from a textual description of what you are trying to achieve. That way, when somebody wants to do something similar, searching for those terms will help them find this question and it's answer. Specifically, mention the part(s) of the diagram which are not being drawn to your desire. Something like "How to draw concentric circles" or "How to draw a line segment whose endpoint lies on the edge of a circle" or whatever you feel best describes the part you can't draw in your image. This will also help your question from seeming too broad.

    – Davy M
    Mar 16 at 20:00











  • @Davy M So how can I do it? I put this in the description of the question?

    – Matheus Guimaraes
    Mar 17 at 0:37











  • @MatheusGuimaraes Yes, I would add it after you mention that you are having a bit of difficulty, a more exact description of what parts are giving you difficulty. This probably isn't a priority since you already got your answer, but it will likely help other people who want to do something similar so they can find your question and the answer.

    – Davy M
    Mar 17 at 1:44















7















I would like to draw the figure below in LaTeX and am having a bit of a difficulty. How can I do it?



Enter image description here



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
begindocument
begintitlepage
[]
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIÁVEIS COMPLEXAS
beginfigure[H]
centering
[
includegraphics[width=100mm]./Figuras/capa5.png
]
endfigure

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


After doing the code, how do I put it in place of begin figure [H]
centering
[
includegraphics [width = 100mm] ./ Figures / layer5.png
]
end figure
so you do not need figures?










share|improve this question



















  • 2





    @close-voters: Please add a comment about the reason to close vote! I voted for leave open!

    – Kurt
    Mar 16 at 16:29







  • 1





    @Kurt I agree with you. I also ask questions where I don't know where to start.

    – Sebastiano
    Mar 16 at 16:50











  • This question could benefit from a textual description of what you are trying to achieve. That way, when somebody wants to do something similar, searching for those terms will help them find this question and it's answer. Specifically, mention the part(s) of the diagram which are not being drawn to your desire. Something like "How to draw concentric circles" or "How to draw a line segment whose endpoint lies on the edge of a circle" or whatever you feel best describes the part you can't draw in your image. This will also help your question from seeming too broad.

    – Davy M
    Mar 16 at 20:00











  • @Davy M So how can I do it? I put this in the description of the question?

    – Matheus Guimaraes
    Mar 17 at 0:37











  • @MatheusGuimaraes Yes, I would add it after you mention that you are having a bit of difficulty, a more exact description of what parts are giving you difficulty. This probably isn't a priority since you already got your answer, but it will likely help other people who want to do something similar so they can find your question and the answer.

    – Davy M
    Mar 17 at 1:44













7












7








7


1






I would like to draw the figure below in LaTeX and am having a bit of a difficulty. How can I do it?



Enter image description here



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
begindocument
begintitlepage
[]
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIÁVEIS COMPLEXAS
beginfigure[H]
centering
[
includegraphics[width=100mm]./Figuras/capa5.png
]
endfigure

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


After doing the code, how do I put it in place of begin figure [H]
centering
[
includegraphics [width = 100mm] ./ Figures / layer5.png
]
end figure
so you do not need figures?










share|improve this question
















I would like to draw the figure below in LaTeX and am having a bit of a difficulty. How can I do it?



Enter image description here



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
begindocument
begintitlepage
[]
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIÁVEIS COMPLEXAS
beginfigure[H]
centering
[
includegraphics[width=100mm]./Figuras/capa5.png
]
endfigure

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


After doing the code, how do I put it in place of begin figure [H]
centering
[
includegraphics [width = 100mm] ./ Figures / layer5.png
]
end figure
so you do not need figures?







tikz-pgf






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Mar 17 at 0:39







Matheus Guimaraes

















asked Mar 16 at 15:03









Matheus GuimaraesMatheus Guimaraes

384




384







  • 2





    @close-voters: Please add a comment about the reason to close vote! I voted for leave open!

    – Kurt
    Mar 16 at 16:29







  • 1





    @Kurt I agree with you. I also ask questions where I don't know where to start.

    – Sebastiano
    Mar 16 at 16:50











  • This question could benefit from a textual description of what you are trying to achieve. That way, when somebody wants to do something similar, searching for those terms will help them find this question and it's answer. Specifically, mention the part(s) of the diagram which are not being drawn to your desire. Something like "How to draw concentric circles" or "How to draw a line segment whose endpoint lies on the edge of a circle" or whatever you feel best describes the part you can't draw in your image. This will also help your question from seeming too broad.

    – Davy M
    Mar 16 at 20:00











  • @Davy M So how can I do it? I put this in the description of the question?

    – Matheus Guimaraes
    Mar 17 at 0:37











  • @MatheusGuimaraes Yes, I would add it after you mention that you are having a bit of difficulty, a more exact description of what parts are giving you difficulty. This probably isn't a priority since you already got your answer, but it will likely help other people who want to do something similar so they can find your question and the answer.

    – Davy M
    Mar 17 at 1:44












  • 2





    @close-voters: Please add a comment about the reason to close vote! I voted for leave open!

    – Kurt
    Mar 16 at 16:29







  • 1





    @Kurt I agree with you. I also ask questions where I don't know where to start.

    – Sebastiano
    Mar 16 at 16:50











  • This question could benefit from a textual description of what you are trying to achieve. That way, when somebody wants to do something similar, searching for those terms will help them find this question and it's answer. Specifically, mention the part(s) of the diagram which are not being drawn to your desire. Something like "How to draw concentric circles" or "How to draw a line segment whose endpoint lies on the edge of a circle" or whatever you feel best describes the part you can't draw in your image. This will also help your question from seeming too broad.

    – Davy M
    Mar 16 at 20:00











  • @Davy M So how can I do it? I put this in the description of the question?

    – Matheus Guimaraes
    Mar 17 at 0:37











  • @MatheusGuimaraes Yes, I would add it after you mention that you are having a bit of difficulty, a more exact description of what parts are giving you difficulty. This probably isn't a priority since you already got your answer, but it will likely help other people who want to do something similar so they can find your question and the answer.

    – Davy M
    Mar 17 at 1:44







2




2





@close-voters: Please add a comment about the reason to close vote! I voted for leave open!

– Kurt
Mar 16 at 16:29






@close-voters: Please add a comment about the reason to close vote! I voted for leave open!

– Kurt
Mar 16 at 16:29





1




1





@Kurt I agree with you. I also ask questions where I don't know where to start.

– Sebastiano
Mar 16 at 16:50





@Kurt I agree with you. I also ask questions where I don't know where to start.

– Sebastiano
Mar 16 at 16:50













This question could benefit from a textual description of what you are trying to achieve. That way, when somebody wants to do something similar, searching for those terms will help them find this question and it's answer. Specifically, mention the part(s) of the diagram which are not being drawn to your desire. Something like "How to draw concentric circles" or "How to draw a line segment whose endpoint lies on the edge of a circle" or whatever you feel best describes the part you can't draw in your image. This will also help your question from seeming too broad.

– Davy M
Mar 16 at 20:00





This question could benefit from a textual description of what you are trying to achieve. That way, when somebody wants to do something similar, searching for those terms will help them find this question and it's answer. Specifically, mention the part(s) of the diagram which are not being drawn to your desire. Something like "How to draw concentric circles" or "How to draw a line segment whose endpoint lies on the edge of a circle" or whatever you feel best describes the part you can't draw in your image. This will also help your question from seeming too broad.

– Davy M
Mar 16 at 20:00













@Davy M So how can I do it? I put this in the description of the question?

– Matheus Guimaraes
Mar 17 at 0:37





@Davy M So how can I do it? I put this in the description of the question?

– Matheus Guimaraes
Mar 17 at 0:37













@MatheusGuimaraes Yes, I would add it after you mention that you are having a bit of difficulty, a more exact description of what parts are giving you difficulty. This probably isn't a priority since you already got your answer, but it will likely help other people who want to do something similar so they can find your question and the answer.

– Davy M
Mar 17 at 1:44





@MatheusGuimaraes Yes, I would add it after you mention that you are having a bit of difficulty, a more exact description of what parts are giving you difficulty. This probably isn't a priority since you already got your answer, but it will likely help other people who want to do something similar so they can find your question and the answer.

– Davy M
Mar 17 at 1:44










1 Answer
1






active

oldest

votes


















11














Note: The codes are arranged in "quality-increasing" order in my opinion, i.e. the best one is the last one.




Like this?



documentclass[tikz]standalone
usetikzlibraryquotes,angles
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
draw (a) node[above right] e^itheta$;
draw (b) node[below] $;
draw (2,0) node[below] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
endtikzpicture
enddocument


enter image description here



Improved version:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @marmot, I think this figure is more mathematically true ;-)



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Another choice: Im instead of Im and Re instead of Re (@Sebastiano's request):



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @JasperHabicht in this answer, now I can optimize the separating space between node texts and the line:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
usepackage[outline]contour
contourlength2pt
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] contourwhitee^itheta$;
draw (b) node[below right] contourwhite$;
draw (2,0) node[below left=0cm and -2em] contourwhite$;
draw (m) node[right] contourwhite$;
draw (n) node[below] contourwhitez;
draw (p) node[above] contourwhite^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] contourwhite$i$;
draw (1.5,.1)--(1.5,0) node[below] contourwhite$1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here




Your code is not compilable because of a conflict (?) between babel and quotes (I don't know if it is true).



We can fix it by not using quotes anymore:



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
usetikzlibraryangles,positioning
begindocument
begintitlepage
vspace1cm
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIAVEIS COMPLEXAS

begincenter
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
draw (45:0.8) node[above right] $theta$;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
endcenter

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


enter image description here






share|improve this answer

























  • thank you very much!! worked here

    – Matheus Guimaraes
    Mar 16 at 16:15











  • Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

    – Matheus Guimaraes
    Mar 16 at 16:17











  • @MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

    – JouleV
    Mar 16 at 16:19











  • I did this but when I compile it gives an error in '' pic ''. How do I correct it?

    – Matheus Guimaraes
    Mar 16 at 16:23











  • @MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

    – JouleV
    Mar 16 at 16:26










Your Answer








StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "85"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);

else
createEditor();

);

function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);



);













draft saved

draft discarded


















StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f479801%2fhow-to-plot-polar-formed-complex-numbers%23new-answer', 'question_page');

);

Post as a guest















Required, but never shown

























1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









11














Note: The codes are arranged in "quality-increasing" order in my opinion, i.e. the best one is the last one.




Like this?



documentclass[tikz]standalone
usetikzlibraryquotes,angles
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
draw (a) node[above right] e^itheta$;
draw (b) node[below] $;
draw (2,0) node[below] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
endtikzpicture
enddocument


enter image description here



Improved version:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @marmot, I think this figure is more mathematically true ;-)



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Another choice: Im instead of Im and Re instead of Re (@Sebastiano's request):



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @JasperHabicht in this answer, now I can optimize the separating space between node texts and the line:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
usepackage[outline]contour
contourlength2pt
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] contourwhitee^itheta$;
draw (b) node[below right] contourwhite$;
draw (2,0) node[below left=0cm and -2em] contourwhite$;
draw (m) node[right] contourwhite$;
draw (n) node[below] contourwhitez;
draw (p) node[above] contourwhite^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] contourwhite$i$;
draw (1.5,.1)--(1.5,0) node[below] contourwhite$1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here




Your code is not compilable because of a conflict (?) between babel and quotes (I don't know if it is true).



We can fix it by not using quotes anymore:



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
usetikzlibraryangles,positioning
begindocument
begintitlepage
vspace1cm
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIAVEIS COMPLEXAS

begincenter
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
draw (45:0.8) node[above right] $theta$;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
endcenter

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


enter image description here






share|improve this answer

























  • thank you very much!! worked here

    – Matheus Guimaraes
    Mar 16 at 16:15











  • Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

    – Matheus Guimaraes
    Mar 16 at 16:17











  • @MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

    – JouleV
    Mar 16 at 16:19











  • I did this but when I compile it gives an error in '' pic ''. How do I correct it?

    – Matheus Guimaraes
    Mar 16 at 16:23











  • @MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

    – JouleV
    Mar 16 at 16:26















11














Note: The codes are arranged in "quality-increasing" order in my opinion, i.e. the best one is the last one.




Like this?



documentclass[tikz]standalone
usetikzlibraryquotes,angles
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
draw (a) node[above right] e^itheta$;
draw (b) node[below] $;
draw (2,0) node[below] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
endtikzpicture
enddocument


enter image description here



Improved version:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @marmot, I think this figure is more mathematically true ;-)



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Another choice: Im instead of Im and Re instead of Re (@Sebastiano's request):



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @JasperHabicht in this answer, now I can optimize the separating space between node texts and the line:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
usepackage[outline]contour
contourlength2pt
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] contourwhitee^itheta$;
draw (b) node[below right] contourwhite$;
draw (2,0) node[below left=0cm and -2em] contourwhite$;
draw (m) node[right] contourwhite$;
draw (n) node[below] contourwhitez;
draw (p) node[above] contourwhite^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] contourwhite$i$;
draw (1.5,.1)--(1.5,0) node[below] contourwhite$1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here




Your code is not compilable because of a conflict (?) between babel and quotes (I don't know if it is true).



We can fix it by not using quotes anymore:



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
usetikzlibraryangles,positioning
begindocument
begintitlepage
vspace1cm
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIAVEIS COMPLEXAS

begincenter
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
draw (45:0.8) node[above right] $theta$;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
endcenter

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


enter image description here






share|improve this answer

























  • thank you very much!! worked here

    – Matheus Guimaraes
    Mar 16 at 16:15











  • Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

    – Matheus Guimaraes
    Mar 16 at 16:17











  • @MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

    – JouleV
    Mar 16 at 16:19











  • I did this but when I compile it gives an error in '' pic ''. How do I correct it?

    – Matheus Guimaraes
    Mar 16 at 16:23











  • @MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

    – JouleV
    Mar 16 at 16:26













11












11








11







Note: The codes are arranged in "quality-increasing" order in my opinion, i.e. the best one is the last one.




Like this?



documentclass[tikz]standalone
usetikzlibraryquotes,angles
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
draw (a) node[above right] e^itheta$;
draw (b) node[below] $;
draw (2,0) node[below] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
endtikzpicture
enddocument


enter image description here



Improved version:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @marmot, I think this figure is more mathematically true ;-)



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Another choice: Im instead of Im and Re instead of Re (@Sebastiano's request):



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @JasperHabicht in this answer, now I can optimize the separating space between node texts and the line:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
usepackage[outline]contour
contourlength2pt
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] contourwhitee^itheta$;
draw (b) node[below right] contourwhite$;
draw (2,0) node[below left=0cm and -2em] contourwhite$;
draw (m) node[right] contourwhite$;
draw (n) node[below] contourwhitez;
draw (p) node[above] contourwhite^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] contourwhite$i$;
draw (1.5,.1)--(1.5,0) node[below] contourwhite$1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here




Your code is not compilable because of a conflict (?) between babel and quotes (I don't know if it is true).



We can fix it by not using quotes anymore:



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
usetikzlibraryangles,positioning
begindocument
begintitlepage
vspace1cm
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIAVEIS COMPLEXAS

begincenter
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
draw (45:0.8) node[above right] $theta$;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
endcenter

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


enter image description here






share|improve this answer















Note: The codes are arranged in "quality-increasing" order in my opinion, i.e. the best one is the last one.




Like this?



documentclass[tikz]standalone
usetikzlibraryquotes,angles
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
draw (a) node[above right] e^itheta$;
draw (b) node[below] $;
draw (2,0) node[below] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
endtikzpicture
enddocument


enter image description here



Improved version:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (25:2);
coordinate (n) at (-95:2);
coordinate (p) at (145:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @marmot, I think this figure is more mathematically true ;-)



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Another choice: Im instead of Im and Re instead of Re (@Sebastiano's request):



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
begindocument
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here



Thanks to @JasperHabicht in this answer, now I can optimize the separating space between node texts and the line:



documentclass[tikz]standalone
usetikzlibraryquotes,angles,positioning
usepackage[outline]contour
contourlength2pt
begindocument
begintikzpicture
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] contourwhitee^itheta$;
draw (b) node[below right] contourwhite$;
draw (2,0) node[below left=0cm and -2em] contourwhite$;
draw (m) node[right] contourwhite$;
draw (n) node[below] contourwhitez;
draw (p) node[above] contourwhite^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] contourwhite$i$;
draw (1.5,.1)--(1.5,0) node[below] contourwhite$1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
pic[draw,dashed,thick,"$theta$",angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
enddocument


enter image description here




Your code is not compilable because of a conflict (?) between babel and quotes (I don't know if it is true).



We can fix it by not using quotes anymore:



%usepackage[dvips,pdftex]graphicx

documentclass[a4paper,12pt]article%
usepackageamsmath
usepackageamsfonts
usepackageindentfirst
usepackageamssymb
usepackagegraphicx
usepackagecolor
usepackage[dvips]epsfig
usepackage[dvips]graphicx
usepackagefloat
usepackage[latin1]inputenc
usepackage[brazil]babel
usepackagetikz
usepackagemulticol
usepackagecancel
usepackage[unicode=true,bookmarks=true,bookmarksnumbered=true,bookmarksopen=true,breaklinks=true,backref=true,linkcolor=black,colorlinks=true]%
hyperref%
setcounterMaxMatrixCols30
%TCIDATAOutputFilter=latex2.dll
%TCIDATAVersion=5.50.0.2953
%TCIDATALastRevised=Thursday, March 14, 2019 23:50:47
%TCIDATA<META NAME="GraphicsSave" CONTENT="32">
%TCIDATA<META NAME="SaveForMode" CONTENT="1">
%TCIDATABibliographyScheme=Manual
%BeginMSIPreambleData
providecommandU[1]protectrule.1in.1in
%EndMSIPreambleData
setlengthtopmargin-1.5cm setlengthoddsidemargin0.0cm
setlengthevensidemargin0.0cm setlengthtextheight24cm
setlengthtextwidth16.5cm
renewcommandbaselinestretch1.25
usetikzlibraryangles,positioning
begindocument
begintitlepage
vspace1cm
begincenter
%tiny,small,large,Large,LARGE, huge,Huge,HUGE
Large sc Universidade Federal do Maranhão
vskip 0.5cm
Large sc Centro de Ciências Exatas e Tecnologia
vskip 0.5cm Large sc Matheus Rodrigues Linhares Guimarães
vskip 3 cm LARGE sc textbfVARIAVEIS COMPLEXAS

begincenter
begintikzpicture
beginscope[every node/.style=fill=white,inner sep=2pt]
draw (0,-4)--(0,4) node[above] $Im$ (-4,0)--(4,0) node[right] $Re$;
draw[dashed] (0,0) circle (3) circle (2);
coordinate (a) at (80:3);
coordinate (b) at (3,0);
coordinate (m) at (80/3:2);
coordinate (n) at (80/3-120:2);
coordinate (p) at (80/3+120:2);
coordinate (o) at (0,0);
draw (a) node[above right] e^itheta$;
draw (b) node[below right] $;
draw (2,0) node[below left=0cm and -2em] $;
draw (m) node[right] $;
draw (n) node[below] z;
draw (p) node[above] ^1/3e^i(theta+2pi)/3$;
draw (.1,1.5)--(0,1.5) node[left] $i$;
draw (1.5,.1)--(1.5,0) node[below] $1$;
draw (0,0)--(a) (0,0)--(m) (0,0)--(n) (0,0)--(p);
draw[dashed] (m)--(n)--(p)--cycle;
endscope
pic[draw,dashed,thick,angle radius=0.8cm,angle eccentricity=1.3] angle=b--o--a;
draw (45:0.8) node[above right] $theta$;
fill[black] (a) circle (2pt) (b) circle (2pt) (m) circle (2pt) (n) circle (2pt) (p) circle (2pt) (2,0) circle (2pt);
endtikzpicture
endcenter

vskip 2cm
vfill
sc 2019.1
endcenter
endtitlepage%


enddocument


enter image description here







share|improve this answer














share|improve this answer



share|improve this answer








edited Mar 18 at 5:41

























answered Mar 16 at 15:20









JouleVJouleV

7,89222053




7,89222053












  • thank you very much!! worked here

    – Matheus Guimaraes
    Mar 16 at 16:15











  • Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

    – Matheus Guimaraes
    Mar 16 at 16:17











  • @MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

    – JouleV
    Mar 16 at 16:19











  • I did this but when I compile it gives an error in '' pic ''. How do I correct it?

    – Matheus Guimaraes
    Mar 16 at 16:23











  • @MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

    – JouleV
    Mar 16 at 16:26

















  • thank you very much!! worked here

    – Matheus Guimaraes
    Mar 16 at 16:15











  • Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

    – Matheus Guimaraes
    Mar 16 at 16:17











  • @MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

    – JouleV
    Mar 16 at 16:19











  • I did this but when I compile it gives an error in '' pic ''. How do I correct it?

    – Matheus Guimaraes
    Mar 16 at 16:23











  • @MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

    – JouleV
    Mar 16 at 16:26
















thank you very much!! worked here

– Matheus Guimaraes
Mar 16 at 16:15





thank you very much!! worked here

– Matheus Guimaraes
Mar 16 at 16:15













Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

– Matheus Guimaraes
Mar 16 at 16:17





Is it possible to use the image as a cover? I am making a cover for handout of complex variables but it is not working because I am using documentclass [a4paper, 12pt] article% how to make the necessary change for compilation to take place right?

– Matheus Guimaraes
Mar 16 at 16:17













@MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

– JouleV
Mar 16 at 16:19





@MatheusGuimaraes Change documentclass[tikz]standalone to documentclassarticle usepackagetikz.

– JouleV
Mar 16 at 16:19













I did this but when I compile it gives an error in '' pic ''. How do I correct it?

– Matheus Guimaraes
Mar 16 at 16:23





I did this but when I compile it gives an error in '' pic ''. How do I correct it?

– Matheus Guimaraes
Mar 16 at 16:23













@MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

– JouleV
Mar 16 at 16:26





@MatheusGuimaraes Make sure you have usetikzlibraryquotes,angles in your preamble.

– JouleV
Mar 16 at 16:26

















draft saved

draft discarded
















































Thanks for contributing an answer to TeX - LaTeX Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid


  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.

To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f479801%2fhow-to-plot-polar-formed-complex-numbers%23new-answer', 'question_page');

);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Moe incest case Sentencing See also References Navigation menu"'Australian Josef Fritzl' fathered four children by daughter""Small town recoils in horror at 'Australian Fritzl' incest case""Victorian rape allegations echo Fritzl case - Just In (Australian Broadcasting Corporation)""Incest father jailed for 22 years""'Australian Fritzl' sentenced to 22 years in prison for abusing daughter for three decades""RSJ v The Queen"

Who is our nearest planetary neighbor, on average?Santa Claus flies to the South PoleSeven Spheres of Unequal Mass, a weighing problem with a twistDescribe a large integerFast Mental Calculation of $7.5^7$Math in Space (without the help of celebrities)Find the value of $bigstar$: Puzzle 8 - InequalityWho drinks beer while running anyway?A Crucial DeliveryRanking And AverageHow long will my money last at roulette?

Daza language Contents Vocabulary Phonology References External links Navigation menudaza1242Daza"Dazaga"eeee178086576