(cos Θ + cos Θ)^2 + (cos Θ + cos Θ)^2
answers are
sin2 Θ
4
8
cos2 Θ
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OpenStudy (anonymous):
SOMEONE PLEASE HELP
OpenStudy (astrophysics):
I just showed you this :\
OpenStudy (astrophysics):
Someone else isn't going to get a different answer...they will tell you your options are wrong as well, we got \[8 \cos^2(\theta)\]
OpenStudy (anonymous):
yes but i was hoping someone cou;d help me answer it maybe theres a different way
OpenStudy (astrophysics):
\[(\cos(\theta)+\cos(\theta)^2 = (2\cos \theta)^2 = 4\cos^2(\theta)\] since both sides are same we have \[4\cos^2(\theta)+4\cos^2(\theta) = 8\cos^2(\theta)\]
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OpenStudy (astrophysics):
Your options don't make sense, either you just pick one at random or email your teacher
OpenStudy (anonymous):
okay i think im going to go with 8
OpenStudy (astrophysics):
Post the full question
OpenStudy (astrophysics):
Maybe you missed a detail
OpenStudy (astrophysics):
Including everything
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OpenStudy (anonymous):
OpenStudy (astrophysics):
Yeah ok the options are wrong, go either 8 or cos^2theta I guess :\ make sure to tell your teacher
OpenStudy (anonymous):
tahts all it is
OpenStudy (anonymous):
do you mind helping w another
OpenStudy (astrophysics):
sure
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OpenStudy (anonymous):
what is the sine value of 5pi/3
OpenStudy (anonymous):
i know its equal to 300 degrees
OpenStudy (anonymous):
?
OpenStudy (astrophysics):
\[\sin(5 \pi/3) \] ok so we have this, the reference angle here is pi/3 what's the ratio of sin(theta)?
OpenStudy (anonymous):
im not sure
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OpenStudy (anonymous):
im sorry im really bad at math i just know tis equal to 300 degrees
OpenStudy (astrophysics):
SOH CAH TOA
OpenStudy (astrophysics):
that ring a bell?
OpenStudy (astrophysics):
\[\sin( \theta) = \frac{ opposite }{ hypotenuse } = \frac{ x }{ r }\]
OpenStudy (anonymous):
oh yeah
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OpenStudy (astrophysics):
|dw:1439605676428:dw| this is the pi/3 triangle, so far so good?
OpenStudy (anonymous):
yes
OpenStudy (astrophysics):
Ok since we know it's 300 degrees we know it's in the fourth quadrant of unit circle right. So\[y=-\sqrt{3}\]and\[r = 2\]\[\frac{ y }{ r } = \frac{ - \sqrt{3} }{ 2 }\] sorry I put x as opposite when it should be y/r and not x/r.
OpenStudy (anonymous):
okay
OpenStudy (astrophysics):
So that's our exact value
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