Trigonometry
12 Online
OpenStudy (anonymous):
sin Ɵ / 1 + sin Ɵ - sin Ɵ / 1 - sin Ɵ
Complete the identity ..
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OpenStudy (luigi0210):
\[\frac{ \sin \theta }{ 1+\sin \theta }-\frac{ \sin \theta }{ 1-\sin \theta }\]
OpenStudy (luigi0210):
Is this your problem?
OpenStudy (anonymous):
Yeah !
OpenStudy (luigi0210):
Okay, first what we do is get common denominators. Can you do that?
OpenStudy (anonymous):
\[\cos^2 \theta \] ?
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OpenStudy (luigi0210):
Close enough: 1-sin^2x
OpenStudy (anonymous):
wait how did you get that?
OpenStudy (shamim):
\[\frac{ \sin \theta (1- \sin \theta)-\sin \theta(1+\sin \theta) }{ (1-\sin \theta)(1+\sin \theta) }\]
OpenStudy (luigi0210):
@shamim illustrates it, thank you for that!
OpenStudy (shamim):
\[\frac{ \sin \theta (1-\sin \theta-1-\sin \theta) }{ 1-\sin ^{2}\theta }\]
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OpenStudy (anonymous):
I'm so confused....
OpenStudy (luigi0210):
@shamim can take care of you from here. Call if you need anything!
OpenStudy (shamim):
where u confused
OpenStudy (anonymous):
What is the first step ?
OpenStudy (shamim):
\[\frac{ -2 \sin ^{2}\theta }{ \cos ^{2}\theta }\]
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OpenStudy (anonymous):
ohh ok so you get -2tan^2 theta
but i dont know how to get to there
OpenStudy (shamim):
ok
OpenStudy (shamim):
just follw my every step
OpenStudy (shamim):
go back
OpenStudy (anonymous):
how did it turn in multiplication?
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OpenStudy (shamim):
u know\[(a+b)(a-b)=a ^{2}-b ^{2}\]
OpenStudy (shamim):
do u know this formula?
OpenStudy (anonymous):
oh yeah
OpenStudy (anonymous):
OHHHHHHHHHHHHHHH I SSEE NOW
OpenStudy (shamim):
then\[(1+ \sin \theta)(1- \sin \theta)=1^{2}-\sin ^{2}\theta\]
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OpenStudy (anonymous):
\[\sin \theta(1-\sin \theta-1-\sin \theta) / 1-\sin^2 \theta \] im stuck here
OpenStudy (anonymous):
):
OpenStudy (anonymous):
where did the -2sin^2 theta come from ?
OpenStudy (luigi0210):
Did he leave?
OpenStudy (anonymous):
I think so... got tired of my dumbness :C
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OpenStudy (luigi0210):
No, you're not dumb at all.
OpenStudy (luigi0210):
But I can try to finish it if you want?
OpenStudy (anonymous):
Ok please thank you
OpenStudy (luigi0210):
Where did you guys leave off at?
OpenStudy (anonymous):
I dont know where to go after
sinƟ(1-sinƟ-1-sinƟ) / cos^2Ɵ
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OpenStudy (anonymous):
how did the top part turn in -2sin^2Ɵ ?
OpenStudy (luigi0210):
Well using HIS method:|dw:1372321020112:dw|