Simplifying and Expanding trig identitiesPythagorean Trig IdentitySimplifying trig expression cos and...
Why is this clock signal connected to a capacitor to gnd?
Why would the Red Woman birth a shadow if she worshipped the Lord of the Light?
Alternative to sending password over mail?
Forgetting the musical notes while performing in concert
Why no variance term in Bayesian logistic regression?
What killed these X2 caps?
Why are the 737's rear doors unusable in a water landing?
Could the museum Saturn V's be refitted for one more flight?
What is a romance in Latin?
Should I tell management that I intend to leave due to bad software development practices?
I would say: "You are another teacher", but she is a woman and I am a man
Avoiding the "not like other girls" trope?
What does the expression "A Mann!" means
How to tell a function to use the default argument values?
How to prevent "they're falling in love" trope
Zip/Tar file compressed to larger size?
What reasons are there for a Capitalist to oppose a 100% inheritance tax?
Would Slavery Reparations be considered Bills of Attainder and hence Illegal?
How dangerous is XSS?
Why do bosons tend to occupy the same state?
Bullying boss launched a smear campaign and made me unemployable
How do I deal with an unproductive colleague in a small company?
Is there an expression that means doing something right before you will need it rather than doing it in case you might need it?
What does “the session was packed” mean in this context?
Simplifying and Expanding trig identities
Pythagorean Trig IdentitySimplifying trig expression cos and sin.Verifying Trigonometric IdentitiesUnderstanding expanding trig identitiesSimplifying Trig IdentitiesSimplifying Inverse Trig FunctionSimplifying Trig Expressions Using Identities.Simplifying $frac{y}{y^2+b^2}$ where $y=b cottheta$which trig identities are used here?Proving the Trig Identities $sin(-theta)=-sin(theta)$ and $cos(-theta)=cos(theta)$
$begingroup$
simplify expand $$8 sin^2(3 theta)-4$$
I'm stuck on this question can someone help me and show solution.
trigonometry
edited Dec 2 '13 at 0:54
Amzoti
51.3k125398
asked Dec 2 '13 at 0:51
JamesJames
1
$endgroup$
add a comment |
$begingroup$
simplify expand $$8 sin^2(3 theta)-4$$
I'm stuck on this question can someone help me and show solution.
trigonometry
edited Dec 2 '13 at 0:54
Amzoti
51.3k125398
asked Dec 2 '13 at 0:51
JamesJames
1
$endgroup$
$begingroup$
Is the edit correct?
$endgroup$
– Amzoti
Dec 2 '13 at 0:54
$begingroup$
Yes, it is correct. Sorry, first time on this site.
$endgroup$
– James
Dec 2 '13 at 0:55
1
$begingroup$
"Simplify" is really subjective here. Do you want the argument to be $theta$ instead of $3theta$?
$endgroup$
– Doc
Dec 2 '13 at 0:59
$begingroup$
I think my teacher wants it simplified using compound or double angle identities.
$endgroup$
– James
Dec 2 '13 at 1:02
add a comment |
$begingroup$
simplify expand $$8 sin^2(3 theta)-4$$
I'm stuck on this question can someone help me and show solution.
trigonometry
edited Dec 2 '13 at 0:54
Amzoti
51.3k125398
asked Dec 2 '13 at 0:51
JamesJames
1
$endgroup$
simplify expand $$8 sin^2(3 theta)-4$$
I'm stuck on this question can someone help me and show solution.
trigonometry
trigonometry
edited Dec 2 '13 at 0:54
Amzoti
51.3k125398
asked Dec 2 '13 at 0:51
JamesJames
1
edited Dec 2 '13 at 0:54
Amzoti
51.3k125398
asked Dec 2 '13 at 0:51
JamesJames
1
edited Dec 2 '13 at 0:54
Amzoti
51.3k125398
edited Dec 2 '13 at 0:54
Amzoti
51.3k125398
edited Dec 2 '13 at 0:54
Amzoti
51.3k125398
51.3k125398
asked Dec 2 '13 at 0:51
JamesJames
1
asked Dec 2 '13 at 0:51
JamesJames
1
asked Dec 2 '13 at 0:51
JamesJames
1
1
$begingroup$
Is the edit correct?
$endgroup$
– Amzoti
Dec 2 '13 at 0:54
$begingroup$
Yes, it is correct. Sorry, first time on this site.
$endgroup$
– James
Dec 2 '13 at 0:55
1
$begingroup$
"Simplify" is really subjective here. Do you want the argument to be $theta$ instead of $3theta$?
$endgroup$
– Doc
Dec 2 '13 at 0:59
$begingroup$
I think my teacher wants it simplified using compound or double angle identities.
$endgroup$
– James
Dec 2 '13 at 1:02
add a comment |
$begingroup$
Is the edit correct?
$endgroup$
– Amzoti
Dec 2 '13 at 0:54
$begingroup$
Yes, it is correct. Sorry, first time on this site.
$endgroup$
– James
Dec 2 '13 at 0:55
1
$begingroup$
"Simplify" is really subjective here. Do you want the argument to be $theta$ instead of $3theta$?
$endgroup$
– Doc
Dec 2 '13 at 0:59
$begingroup$
I think my teacher wants it simplified using compound or double angle identities.
$endgroup$
– James
Dec 2 '13 at 1:02
$begingroup$
Is the edit correct?
$endgroup$
– Amzoti
Dec 2 '13 at 0:54
$begingroup$
Is the edit correct?
$endgroup$
– Amzoti
Dec 2 '13 at 0:54
$begingroup$
Yes, it is correct. Sorry, first time on this site.
$endgroup$
– James
Dec 2 '13 at 0:55
$begingroup$
Yes, it is correct. Sorry, first time on this site.
$endgroup$
– James
Dec 2 '13 at 0:55
1
1
$begingroup$
"Simplify" is really subjective here. Do you want the argument to be $theta$ instead of $3theta$?
$endgroup$
– Doc
Dec 2 '13 at 0:59
$begingroup$
"Simplify" is really subjective here. Do you want the argument to be $theta$ instead of $3theta$?
$endgroup$
– Doc
Dec 2 '13 at 0:59
$begingroup$
I think my teacher wants it simplified using compound or double angle identities.
$endgroup$
– James
Dec 2 '13 at 1:02
$begingroup$
I think my teacher wants it simplified using compound or double angle identities.
$endgroup$
– James
Dec 2 '13 at 1:02
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Using $cos(2x)=cos^2x-sin^2x=1-2sin^2x$, we can see that this expression is
$$8sin^2(3theta)-4=-4cdot(1-2sin^2(3theta))=-4,cos(6theta),.$$
answered Dec 2 '13 at 1:12
BerciBerci
61.9k23675
$endgroup$
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
});
}
});
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%2f588851%2fsimplifying-and-expanding-trig-identities%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
$begingroup$
Using $cos(2x)=cos^2x-sin^2x=1-2sin^2x$, we can see that this expression is
$$8sin^2(3theta)-4=-4cdot(1-2sin^2(3theta))=-4,cos(6theta),.$$
answered Dec 2 '13 at 1:12
BerciBerci
61.9k23675
$endgroup$
add a comment |
$begingroup$
Using $cos(2x)=cos^2x-sin^2x=1-2sin^2x$, we can see that this expression is
$$8sin^2(3theta)-4=-4cdot(1-2sin^2(3theta))=-4,cos(6theta),.$$
answered Dec 2 '13 at 1:12
BerciBerci
61.9k23675
$endgroup$
add a comment |
$begingroup$
Using $cos(2x)=cos^2x-sin^2x=1-2sin^2x$, we can see that this expression is
$$8sin^2(3theta)-4=-4cdot(1-2sin^2(3theta))=-4,cos(6theta),.$$
answered Dec 2 '13 at 1:12
BerciBerci
61.9k23675
$endgroup$
Using $cos(2x)=cos^2x-sin^2x=1-2sin^2x$, we can see that this expression is
$$8sin^2(3theta)-4=-4cdot(1-2sin^2(3theta))=-4,cos(6theta),.$$
answered Dec 2 '13 at 1:12
BerciBerci
61.9k23675
answered Dec 2 '13 at 1:12
BerciBerci
61.9k23675
answered Dec 2 '13 at 1:12
BerciBerci
61.9k23675
answered Dec 2 '13 at 1:12
BerciBerci
61.9k23675
61.9k23675
add a comment |
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%2f588851%2fsimplifying-and-expanding-trig-identities%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
$begingroup$
Is the edit correct?
$endgroup$
– Amzoti
Dec 2 '13 at 0:54
$begingroup$
Yes, it is correct. Sorry, first time on this site.
$endgroup$
– James
Dec 2 '13 at 0:55
1
$begingroup$
"Simplify" is really subjective here. Do you want the argument to be $theta$ instead of $3theta$?
$endgroup$
– Doc
Dec 2 '13 at 0:59
$begingroup$
I think my teacher wants it simplified using compound or double angle identities.
$endgroup$
– James
Dec 2 '13 at 1:02