How to solve this trig equation , $tan^-1(x) = 1 / tan (x)$?Solve trigonometric equation $tantheta + sectheta =2cos theta$Find all solutions of the equation $tan x = 2 + tan3x$How to solve this trig. equation?Solving for x in a trig equationIf the quadratic equation $x^2+(2-tantheta)x-(1+tantheta)=0$ has two integral roots,How to solve this Trigonometric equation $tan^2theta + sec(2theta)=1$?Solve the equation $tan(2x) = 1+tan(x)$Solving a trig equation using subsitutionWhy is $tan(theta)$ the reciprocal of $tan(90 - theta)$?How do I solve this trigonometric function equation?
How to terminate ping <dest> &
How to make healing in an exploration game interesting
Why doesn't using two cd commands in bash script execute the second command?
In a future war, an old lady is trying to raise a boy but one of the weapons has made everyone deaf
Do I need to be arrogant to get ahead?
Why Choose Less Effective Armour Types?
Most cost effective thermostat setting: consistent temperature vs. lowest temperature possible
Is it normal that my co-workers at a fitness company criticize my food choices?
Python if-else code style for reduced code for rounding floats
What is the significance behind "40 days" that often appears in the Bible?
How to use deus ex machina safely?
Is there a data structure that only stores hash codes and not the actual objects?
Why do passenger jet manufacturers design their planes with stall prevention systems?
What are substitutions for coconut in curry?
Is it true that good novels will automatically sell themselves on Amazon (and so on) and there is no need for one to waste time promoting?
How to deal with taxi scam when on vacation?
Are there verbs that are neither telic, or atelic?
Co-worker team leader wants to inject his friend's awful software into our development. What should I say to our common boss?
Identifying the interval from A♭ to D♯
Is a party consisting of only a bard, a cleric, and a warlock functional long-term?
Is it possible to upcast ritual spells?
Professor being mistaken for a grad student
How do anti-virus programs start at Windows boot?
Combining an idiom with a metonymy
How to solve this trig equation , $tan^-1(x) = 1 / tan (x)$?
Solve trigonometric equation $tantheta + sectheta =2cos theta$Find all solutions of the equation $tan x = 2 + tan3x$How to solve this trig. equation?Solving for x in a trig equationIf the quadratic equation $x^2+(2-tantheta)x-(1+tantheta)=0$ has two integral roots,How to solve this Trigonometric equation $tan^2theta + sec(2theta)=1$?Solve the equation $tan(2x) = 1+tan(x)$Solving a trig equation using subsitutionWhy is $tan(theta)$ the reciprocal of $tan(90 - theta)$?How do I solve this trigonometric function equation?
$begingroup$
Given the equation $$tan^-1(x) = frac1tan(x),quad xin[0,2pi],$$ find the value/values of $x$.
I tried to take $tan (x)$ for the both sides but the equation had more complicated !
trigonometry
edited Mar 11 at 20:58
user
5,36211030
asked Mar 11 at 20:53
Mohammad AlshareefMohammad Alshareef
81
New contributor
Mohammad Alshareef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
Given the equation $$tan^-1(x) = frac1tan(x),quad xin[0,2pi],$$ find the value/values of $x$.
I tried to take $tan (x)$ for the both sides but the equation had more complicated !
trigonometry
edited Mar 11 at 20:58
user
5,36211030
asked Mar 11 at 20:53
Mohammad AlshareefMohammad Alshareef
81
New contributor
Mohammad Alshareef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
What is $tan ^-1x $? Is it $arctan (x) $ or $1/tan (x) $?
$endgroup$
– user
Mar 11 at 20:56
1
$begingroup$
I doubt if yu can find an analytic solution. Graphing can get you approximations, which can be refined by Newton's method.
$endgroup$
– herb steinberg
Mar 11 at 20:59
$begingroup$
Where is this coming from ?
$endgroup$
– Yves Daoust
Mar 11 at 21:01
$begingroup$
tan−1(x) = arctan (x)
$endgroup$
– Mohammad Alshareef
Mar 11 at 21:04
$begingroup$
I wrote it , And it has solutions , but i don't know how to find them handly .
$endgroup$
– Mohammad Alshareef
Mar 11 at 21:05
add a comment |
$begingroup$
Given the equation $$tan^-1(x) = frac1tan(x),quad xin[0,2pi],$$ find the value/values of $x$.
I tried to take $tan (x)$ for the both sides but the equation had more complicated !
trigonometry
edited Mar 11 at 20:58
user
5,36211030
asked Mar 11 at 20:53
Mohammad AlshareefMohammad Alshareef
81
New contributor
Mohammad Alshareef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Given the equation $$tan^-1(x) = frac1tan(x),quad xin[0,2pi],$$ find the value/values of $x$.
I tried to take $tan (x)$ for the both sides but the equation had more complicated !
trigonometry
trigonometry
edited Mar 11 at 20:58
user
5,36211030
asked Mar 11 at 20:53
Mohammad AlshareefMohammad Alshareef
81
New contributor
Mohammad Alshareef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Mar 11 at 20:58
user
5,36211030
asked Mar 11 at 20:53
Mohammad AlshareefMohammad Alshareef
81
New contributor
Mohammad Alshareef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Mar 11 at 20:58
user
5,36211030
edited Mar 11 at 20:58
user
5,36211030
edited Mar 11 at 20:58
user
5,36211030
5,36211030
asked Mar 11 at 20:53
Mohammad AlshareefMohammad Alshareef
81
New contributor
Mohammad Alshareef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 11 at 20:53
Mohammad AlshareefMohammad Alshareef
81
asked Mar 11 at 20:53
Mohammad AlshareefMohammad Alshareef
81
81
New contributor
Mohammad Alshareef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Mohammad Alshareef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Mohammad Alshareef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
What is $tan ^-1x $? Is it $arctan (x) $ or $1/tan (x) $?
$endgroup$
– user
Mar 11 at 20:56
1
$begingroup$
I doubt if yu can find an analytic solution. Graphing can get you approximations, which can be refined by Newton's method.
$endgroup$
– herb steinberg
Mar 11 at 20:59
$begingroup$
Where is this coming from ?
$endgroup$
– Yves Daoust
Mar 11 at 21:01
$begingroup$
tan−1(x) = arctan (x)
$endgroup$
– Mohammad Alshareef
Mar 11 at 21:04
$begingroup$
I wrote it , And it has solutions , but i don't know how to find them handly .
$endgroup$
– Mohammad Alshareef
Mar 11 at 21:05
add a comment |
$begingroup$
What is $tan ^-1x $? Is it $arctan (x) $ or $1/tan (x) $?
$endgroup$
– user
Mar 11 at 20:56
1
$begingroup$
I doubt if yu can find an analytic solution. Graphing can get you approximations, which can be refined by Newton's method.
$endgroup$
– herb steinberg
Mar 11 at 20:59
$begingroup$
Where is this coming from ?
$endgroup$
– Yves Daoust
Mar 11 at 21:01
$begingroup$
tan−1(x) = arctan (x)
$endgroup$
– Mohammad Alshareef
Mar 11 at 21:04
$begingroup$
I wrote it , And it has solutions , but i don't know how to find them handly .
$endgroup$
– Mohammad Alshareef
Mar 11 at 21:05
$begingroup$
What is $tan ^-1x $? Is it $arctan (x) $ or $1/tan (x) $?
$endgroup$
– user
Mar 11 at 20:56
$begingroup$
What is $tan ^-1x $? Is it $arctan (x) $ or $1/tan (x) $?
$endgroup$
– user
Mar 11 at 20:56
1
1
$begingroup$
I doubt if yu can find an analytic solution. Graphing can get you approximations, which can be refined by Newton's method.
$endgroup$
– herb steinberg
Mar 11 at 20:59
$begingroup$
I doubt if yu can find an analytic solution. Graphing can get you approximations, which can be refined by Newton's method.
$endgroup$
– herb steinberg
Mar 11 at 20:59
$begingroup$
Where is this coming from ?
$endgroup$
– Yves Daoust
Mar 11 at 21:01
$begingroup$
Where is this coming from ?
$endgroup$
– Yves Daoust
Mar 11 at 21:01
$begingroup$
tan−1(x) = arctan (x)
$endgroup$
– Mohammad Alshareef
Mar 11 at 21:04
$begingroup$
tan−1(x) = arctan (x)
$endgroup$
– Mohammad Alshareef
Mar 11 at 21:04
$begingroup$
I wrote it , And it has solutions , but i don't know how to find them handly .
$endgroup$
– Mohammad Alshareef
Mar 11 at 21:05
$begingroup$
I wrote it , And it has solutions , but i don't know how to find them handly .
$endgroup$
– Mohammad Alshareef
Mar 11 at 21:05
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
I believe you will not be able to find exact solutions, only numerical. However, as you note, it does have solutions, it has $2n$ solutions in every interval of the form $[-n pi, n pi]$.
answered Mar 11 at 21:23
PierreCarrePierreCarre
1,480211
$endgroup$
$begingroup$
In fact, there is a single solution for each $[kpi, (k+1)pi]$ interval. Moreover, if $x $ is a solution, $-x $ is a solution as well.
$endgroup$
– user
Mar 11 at 21:39
add a comment |
$begingroup$
There are two solutions in the given interval and you can find them only numerically.
answered Mar 12 at 8:08
OldboyOldboy
8,77611037
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
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: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
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
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Mohammad Alshareef is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3144231%2fhow-to-solve-this-trig-equation-tan-1x-1-tan-x%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
I believe you will not be able to find exact solutions, only numerical. However, as you note, it does have solutions, it has $2n$ solutions in every interval of the form $[-n pi, n pi]$.
answered Mar 11 at 21:23
PierreCarrePierreCarre
1,480211
$endgroup$
$begingroup$
In fact, there is a single solution for each $[kpi, (k+1)pi]$ interval. Moreover, if $x $ is a solution, $-x $ is a solution as well.
$endgroup$
– user
Mar 11 at 21:39
add a comment |
$begingroup$
I believe you will not be able to find exact solutions, only numerical. However, as you note, it does have solutions, it has $2n$ solutions in every interval of the form $[-n pi, n pi]$.
answered Mar 11 at 21:23
PierreCarrePierreCarre
1,480211
$endgroup$
$begingroup$
In fact, there is a single solution for each $[kpi, (k+1)pi]$ interval. Moreover, if $x $ is a solution, $-x $ is a solution as well.
$endgroup$
– user
Mar 11 at 21:39
add a comment |
$begingroup$
I believe you will not be able to find exact solutions, only numerical. However, as you note, it does have solutions, it has $2n$ solutions in every interval of the form $[-n pi, n pi]$.
answered Mar 11 at 21:23
PierreCarrePierreCarre
1,480211
$endgroup$
I believe you will not be able to find exact solutions, only numerical. However, as you note, it does have solutions, it has $2n$ solutions in every interval of the form $[-n pi, n pi]$.
answered Mar 11 at 21:23
PierreCarrePierreCarre
1,480211
answered Mar 11 at 21:23
PierreCarrePierreCarre
1,480211
answered Mar 11 at 21:23
PierreCarrePierreCarre
1,480211
answered Mar 11 at 21:23
PierreCarrePierreCarre
1,480211
1,480211
$begingroup$
In fact, there is a single solution for each $[kpi, (k+1)pi]$ interval. Moreover, if $x $ is a solution, $-x $ is a solution as well.
$endgroup$
– user
Mar 11 at 21:39
add a comment |
$begingroup$
In fact, there is a single solution for each $[kpi, (k+1)pi]$ interval. Moreover, if $x $ is a solution, $-x $ is a solution as well.
$endgroup$
– user
Mar 11 at 21:39
$begingroup$
In fact, there is a single solution for each $[kpi, (k+1)pi]$ interval. Moreover, if $x $ is a solution, $-x $ is a solution as well.
$endgroup$
– user
Mar 11 at 21:39
$begingroup$
In fact, there is a single solution for each $[kpi, (k+1)pi]$ interval. Moreover, if $x $ is a solution, $-x $ is a solution as well.
$endgroup$
– user
Mar 11 at 21:39
add a comment |
$begingroup$
There are two solutions in the given interval and you can find them only numerically.
answered Mar 12 at 8:08
OldboyOldboy
8,77611037
$endgroup$
add a comment |
$begingroup$
There are two solutions in the given interval and you can find them only numerically.
answered Mar 12 at 8:08
OldboyOldboy
8,77611037
$endgroup$
add a comment |
$begingroup$
There are two solutions in the given interval and you can find them only numerically.
answered Mar 12 at 8:08
OldboyOldboy
8,77611037
$endgroup$
There are two solutions in the given interval and you can find them only numerically.
answered Mar 12 at 8:08
OldboyOldboy
8,77611037
answered Mar 12 at 8:08
OldboyOldboy
8,77611037
answered Mar 12 at 8:08
OldboyOldboy
8,77611037
answered Mar 12 at 8:08
OldboyOldboy
8,77611037
8,77611037
add a comment |
add a comment |
Mohammad Alshareef is a new contributor. Be nice, and check out our Code of Conduct.
Mohammad Alshareef is a new contributor. Be nice, and check out our Code of Conduct.
Mohammad Alshareef is a new contributor. Be nice, and check out our Code of Conduct.
Mohammad Alshareef is a new contributor. Be nice, and check out our Code of Conduct.
Thanks for contributing an answer to Mathematics 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.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3144231%2fhow-to-solve-this-trig-equation-tan-1x-1-tan-x%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
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
$begingroup$
What is $tan ^-1x $? Is it $arctan (x) $ or $1/tan (x) $?
$endgroup$
– user
Mar 11 at 20:56
1
$begingroup$
I doubt if yu can find an analytic solution. Graphing can get you approximations, which can be refined by Newton's method.
$endgroup$
– herb steinberg
Mar 11 at 20:59
$begingroup$
Where is this coming from ?
$endgroup$
– Yves Daoust
Mar 11 at 21:01
$begingroup$
tan−1(x) = arctan (x)
$endgroup$
– Mohammad Alshareef
Mar 11 at 21:04
$begingroup$
I wrote it , And it has solutions , but i don't know how to find them handly .
$endgroup$
– Mohammad Alshareef
Mar 11 at 21:05