Finding the possible values of sin and tan given cosx = 3/5Find $sin theta$ and $cos theta$ given $tan...
What happens when a metallic dragon and a chromatic dragon mate?
Where to refill my bottle in India?
Are white and non-white police officers equally likely to kill black suspects?
How did the USSR manage to innovate in an environment characterized by government censorship and high bureaucracy?
Is every set a filtered colimit of finite sets?
How would photo IDs work for shapeshifters?
A poker game description that does not feel gimmicky
Calculate Levenshtein distance between two strings in Python
Why is my log file so massive? 22gb. I am running log backups
Copycat chess is back
I see my dog run
Extreme, but not acceptable situation and I can't start the work tomorrow morning
Can I legally use front facing blue light in the UK?
Is there a familial term for apples and pears?
Does a dangling wire really electrocute me if I'm standing in water?
Are objects structures and/or vice versa?
Why is the design of haulage companies so “special”?
Could Giant Ground Sloths have been a good pack animal for the ancient Mayans?
Why airport relocation isn't done gradually?
New order #4: World
What are the advantages and disadvantages of running one shots compared to campaigns?
What does 'script /dev/null' do?
Is there a way to make member function NOT callable from constructor?
Why did the Germans forbid the possession of pet pigeons in Rostov-on-Don in 1941?
Finding the possible values of sin and tan given cosx = 3/5
Find $sin theta$ and $cos theta$ given $tan 2theta$Tirgo problem knowing roots are given find the value of : $sin^2(alpha +beta) +psin(alpha +beta) cos(alpha +beta)+qcos^2(alpha +beta)$Given $n tan b = tan a$ and $ m sin b = sin a$ to find out the value of $frac{m^2 - 1}{n^2-1}$Working with sin, cos and tan.Finding exact values of trig functionsIt is given $(tan theta +1)(sin^² theta -3cos^² theta)=0$, find the possible values of $tan theta$converting cos to sin and tan in specific quadrantsWhen finding $sintheta$ and $costheta$ given $tantheta = frac35$, shouldn't I get positive and negative answers?Find possible values of $tan(B)tan(C)$Given $180°<{theta}<360°$and$frac{1+tan{theta}}{1-tan{theta}}=7$, compute the value of $sin{theta}+cos{theta}$
$begingroup$
Find the possible values of $sintheta$ and $tantheta$, given that $costheta = 3/5$ and $0 leq theta leq pi/2$.
Here is my working out:
Using a right hand triangle:
$$costheta =a/c$$
$$costheta =3/5$$
$$a^2 = b^2 + c^2$$
$$5^2= 3^2+ b^2$$
Therefore $b=+ 4$ or $- 4$.
Compute the values of $b$ and $c$ to find $sintheta$
$$sintheta = b/ c = 4/5$$
$$tantheta = sin/cos = (3/5) / (4/5)$$
$$tantheta = 4/5.$$
Is this right?
Or is it better to do this is in a graph?
trigonometry
edited Nov 2 '16 at 17:35
David K
55.6k345121
asked Nov 2 '16 at 17:31
MaggieMaggie
238
$endgroup$
add a comment |
$begingroup$
Find the possible values of $sintheta$ and $tantheta$, given that $costheta = 3/5$ and $0 leq theta leq pi/2$.
Here is my working out:
Using a right hand triangle:
$$costheta =a/c$$
$$costheta =3/5$$
$$a^2 = b^2 + c^2$$
$$5^2= 3^2+ b^2$$
Therefore $b=+ 4$ or $- 4$.
Compute the values of $b$ and $c$ to find $sintheta$
$$sintheta = b/ c = 4/5$$
$$tantheta = sin/cos = (3/5) / (4/5)$$
$$tantheta = 4/5.$$
Is this right?
Or is it better to do this is in a graph?
trigonometry
edited Nov 2 '16 at 17:35
David K
55.6k345121
asked Nov 2 '16 at 17:31
MaggieMaggie
238
$endgroup$
$begingroup$
Actually the result is $frac 4 3$. Also you can use directly $sin^2theta + cos^2theta = 1$
$endgroup$
– user261263
Nov 2 '16 at 17:34
$begingroup$
For writing future questions, note that you should put entire equations between$signs rather than putting$s around every single symbol you want to format. Line endings in your input do not cause new lines to occur in the output, but$$...$$does put the math on line(s) by itself. Don't use spacing to indicate grouping of operands, use parentheses.
$endgroup$
– David K
Nov 2 '16 at 17:42
$begingroup$
Also for working problems in general, if you're going to use symbols (and often you should), be consistent. You wrote $cos theta = a/c$ but a few lines later you substitute $5$ for $a$ and $3$ for $c$ in a different equation, which would have meant $cos theta = 5/3$, obviously not what you intended to say.
$endgroup$
– David K
Nov 2 '16 at 17:47
add a comment |
$begingroup$
Find the possible values of $sintheta$ and $tantheta$, given that $costheta = 3/5$ and $0 leq theta leq pi/2$.
Here is my working out:
Using a right hand triangle:
$$costheta =a/c$$
$$costheta =3/5$$
$$a^2 = b^2 + c^2$$
$$5^2= 3^2+ b^2$$
Therefore $b=+ 4$ or $- 4$.
Compute the values of $b$ and $c$ to find $sintheta$
$$sintheta = b/ c = 4/5$$
$$tantheta = sin/cos = (3/5) / (4/5)$$
$$tantheta = 4/5.$$
Is this right?
Or is it better to do this is in a graph?
trigonometry
edited Nov 2 '16 at 17:35
David K
55.6k345121
asked Nov 2 '16 at 17:31
MaggieMaggie
238
$endgroup$
Find the possible values of $sintheta$ and $tantheta$, given that $costheta = 3/5$ and $0 leq theta leq pi/2$.
Here is my working out:
Using a right hand triangle:
$$costheta =a/c$$
$$costheta =3/5$$
$$a^2 = b^2 + c^2$$
$$5^2= 3^2+ b^2$$
Therefore $b=+ 4$ or $- 4$.
Compute the values of $b$ and $c$ to find $sintheta$
$$sintheta = b/ c = 4/5$$
$$tantheta = sin/cos = (3/5) / (4/5)$$
$$tantheta = 4/5.$$
Is this right?
Or is it better to do this is in a graph?
trigonometry
trigonometry
edited Nov 2 '16 at 17:35
David K
55.6k345121
asked Nov 2 '16 at 17:31
MaggieMaggie
238
edited Nov 2 '16 at 17:35
David K
55.6k345121
asked Nov 2 '16 at 17:31
MaggieMaggie
238
edited Nov 2 '16 at 17:35
David K
55.6k345121
edited Nov 2 '16 at 17:35
David K
55.6k345121
edited Nov 2 '16 at 17:35
David K
55.6k345121
55.6k345121
asked Nov 2 '16 at 17:31
MaggieMaggie
238
asked Nov 2 '16 at 17:31
MaggieMaggie
238
asked Nov 2 '16 at 17:31
MaggieMaggie
238
238
$begingroup$
Actually the result is $frac 4 3$. Also you can use directly $sin^2theta + cos^2theta = 1$
$endgroup$
– user261263
Nov 2 '16 at 17:34
$begingroup$
For writing future questions, note that you should put entire equations between$signs rather than putting$s around every single symbol you want to format. Line endings in your input do not cause new lines to occur in the output, but$$...$$does put the math on line(s) by itself. Don't use spacing to indicate grouping of operands, use parentheses.
$endgroup$
– David K
Nov 2 '16 at 17:42
$begingroup$
Also for working problems in general, if you're going to use symbols (and often you should), be consistent. You wrote $cos theta = a/c$ but a few lines later you substitute $5$ for $a$ and $3$ for $c$ in a different equation, which would have meant $cos theta = 5/3$, obviously not what you intended to say.
$endgroup$
– David K
Nov 2 '16 at 17:47
add a comment |
$begingroup$
Actually the result is $frac 4 3$. Also you can use directly $sin^2theta + cos^2theta = 1$
$endgroup$
– user261263
Nov 2 '16 at 17:34
$begingroup$
For writing future questions, note that you should put entire equations between$signs rather than putting$s around every single symbol you want to format. Line endings in your input do not cause new lines to occur in the output, but$$...$$does put the math on line(s) by itself. Don't use spacing to indicate grouping of operands, use parentheses.
$endgroup$
– David K
Nov 2 '16 at 17:42
$begingroup$
Also for working problems in general, if you're going to use symbols (and often you should), be consistent. You wrote $cos theta = a/c$ but a few lines later you substitute $5$ for $a$ and $3$ for $c$ in a different equation, which would have meant $cos theta = 5/3$, obviously not what you intended to say.
$endgroup$
– David K
Nov 2 '16 at 17:47
$begingroup$
Actually the result is $frac 4 3$. Also you can use directly $sin^2theta + cos^2theta = 1$
$endgroup$
– user261263
Nov 2 '16 at 17:34
$begingroup$
Actually the result is $frac 4 3$. Also you can use directly $sin^2theta + cos^2theta = 1$
$endgroup$
– user261263
Nov 2 '16 at 17:34
$begingroup$
For writing future questions, note that you should put entire equations between
$ signs rather than putting $s around every single symbol you want to format. Line endings in your input do not cause new lines to occur in the output, but $$...$$ does put the math on line(s) by itself. Don't use spacing to indicate grouping of operands, use parentheses.$endgroup$
– David K
Nov 2 '16 at 17:42
$begingroup$
For writing future questions, note that you should put entire equations between
$ signs rather than putting $s around every single symbol you want to format. Line endings in your input do not cause new lines to occur in the output, but $$...$$ does put the math on line(s) by itself. Don't use spacing to indicate grouping of operands, use parentheses.$endgroup$
– David K
Nov 2 '16 at 17:42
$begingroup$
Also for working problems in general, if you're going to use symbols (and often you should), be consistent. You wrote $cos theta = a/c$ but a few lines later you substitute $5$ for $a$ and $3$ for $c$ in a different equation, which would have meant $cos theta = 5/3$, obviously not what you intended to say.
$endgroup$
– David K
Nov 2 '16 at 17:47
$begingroup$
Also for working problems in general, if you're going to use symbols (and often you should), be consistent. You wrote $cos theta = a/c$ but a few lines later you substitute $5$ for $a$ and $3$ for $c$ in a different equation, which would have meant $cos theta = 5/3$, obviously not what you intended to say.
$endgroup$
– David K
Nov 2 '16 at 17:47
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
That's right. I think you should specify what's wrong with $b=-4$ though. The question says that $theta$ has to be between 0 and $pi/2$. That's the problem. Also just to clarify, it should be sin $theta$ and tan $theta$, not just sin and tan. The way I see it is that it's like writing the square root sign without anything underneath. Actually yes, tan$theta$ should be 4/3.
answered Nov 2 '16 at 17:33
Grad studentGrad student
1,169612
$endgroup$
$begingroup$
Thank you, I will do that.
$endgroup$
– Maggie
Nov 2 '16 at 17:35
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
});
}
});
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%2f1996406%2ffinding-the-possible-values-of-sin-and-tan-given-cosx-3-5%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
$begingroup$
That's right. I think you should specify what's wrong with $b=-4$ though. The question says that $theta$ has to be between 0 and $pi/2$. That's the problem. Also just to clarify, it should be sin $theta$ and tan $theta$, not just sin and tan. The way I see it is that it's like writing the square root sign without anything underneath. Actually yes, tan$theta$ should be 4/3.
answered Nov 2 '16 at 17:33
Grad studentGrad student
1,169612
$endgroup$
$begingroup$
Thank you, I will do that.
$endgroup$
– Maggie
Nov 2 '16 at 17:35
add a comment |
$begingroup$
That's right. I think you should specify what's wrong with $b=-4$ though. The question says that $theta$ has to be between 0 and $pi/2$. That's the problem. Also just to clarify, it should be sin $theta$ and tan $theta$, not just sin and tan. The way I see it is that it's like writing the square root sign without anything underneath. Actually yes, tan$theta$ should be 4/3.
answered Nov 2 '16 at 17:33
Grad studentGrad student
1,169612
$endgroup$
$begingroup$
Thank you, I will do that.
$endgroup$
– Maggie
Nov 2 '16 at 17:35
add a comment |
$begingroup$
That's right. I think you should specify what's wrong with $b=-4$ though. The question says that $theta$ has to be between 0 and $pi/2$. That's the problem. Also just to clarify, it should be sin $theta$ and tan $theta$, not just sin and tan. The way I see it is that it's like writing the square root sign without anything underneath. Actually yes, tan$theta$ should be 4/3.
answered Nov 2 '16 at 17:33
Grad studentGrad student
1,169612
$endgroup$
That's right. I think you should specify what's wrong with $b=-4$ though. The question says that $theta$ has to be between 0 and $pi/2$. That's the problem. Also just to clarify, it should be sin $theta$ and tan $theta$, not just sin and tan. The way I see it is that it's like writing the square root sign without anything underneath. Actually yes, tan$theta$ should be 4/3.
answered Nov 2 '16 at 17:33
Grad studentGrad student
1,169612
edited Nov 2 '16 at 17:35
answered Nov 2 '16 at 17:33
Grad studentGrad student
1,169612
answered Nov 2 '16 at 17:33
Grad studentGrad student
1,169612
answered Nov 2 '16 at 17:33
Grad studentGrad student
1,169612
1,169612
$begingroup$
Thank you, I will do that.
$endgroup$
– Maggie
Nov 2 '16 at 17:35
add a comment |
$begingroup$
Thank you, I will do that.
$endgroup$
– Maggie
Nov 2 '16 at 17:35
$begingroup$
Thank you, I will do that.
$endgroup$
– Maggie
Nov 2 '16 at 17:35
$begingroup$
Thank you, I will do that.
$endgroup$
– Maggie
Nov 2 '16 at 17:35
add a comment |
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%2f1996406%2ffinding-the-possible-values-of-sin-and-tan-given-cosx-3-5%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
$begingroup$
Actually the result is $frac 4 3$. Also you can use directly $sin^2theta + cos^2theta = 1$
$endgroup$
– user261263
Nov 2 '16 at 17:34
$begingroup$
For writing future questions, note that you should put entire equations between
$signs rather than putting$s around every single symbol you want to format. Line endings in your input do not cause new lines to occur in the output, but$$...$$does put the math on line(s) by itself. Don't use spacing to indicate grouping of operands, use parentheses.$endgroup$
– David K
Nov 2 '16 at 17:42
$begingroup$
Also for working problems in general, if you're going to use symbols (and often you should), be consistent. You wrote $cos theta = a/c$ but a few lines later you substitute $5$ for $a$ and $3$ for $c$ in a different equation, which would have meant $cos theta = 5/3$, obviously not what you intended to say.
$endgroup$
– David K
Nov 2 '16 at 17:47