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Mathematics 15 Online
OpenStudy (tester97):

@PeterPan help? http://prntscr.com/3leiae

OpenStudy (kirbykirby):

Recall: \(\cos^2 \theta+\sin^2\theta=1\implies \sin^2\theta=1-\cos^2\theta\) \[ \frac{\sin^2\theta}{1+\cos\theta}=\frac{1-\cos^2\theta}{1+\cos\theta}=\frac{(1-\cos\theta)(1+\cos\theta)}{1+\cos\theta}\] The second step is a difference of squares

OpenStudy (anonymous):

Work a little more magic with the identities... Ever heard of the Pythagorean one? \[\Large \cos^2(\theta) +\sin^2(\theta) = 1\]

OpenStudy (tester97):

So just cancel out both of the (1+cosθ)?

OpenStudy (tester97):

and that will make it just (1−cosθ)?

OpenStudy (magbak):

No actually there is an identity in the next math called called the Pythagorean identities that says it is \[\sin^2\theta+\cos^2\theta=1\]

OpenStudy (magbak):

he taught you something from a different math class

OpenStudy (tester97):

Ok what do i do now then?

OpenStudy (kirbykirby):

What do you mean? I used the same identity...

OpenStudy (tester97):

so i was right then @kirbykirby ?

OpenStudy (magbak):

Ok so you just multiply and tat ends up giving you \[-(\cos(2x)-1)/2(\cos(x)+1)\]

OpenStudy (kirbykirby):

Yes @tester97

OpenStudy (tester97):

mmmk thanks

OpenStudy (magbak):

go post on bae

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