simplify sin Θ/√1-sin Θ
multiply the top and bottom by \(\sqrt{1-\sin\theta}\).
Is it tan^2 Θ ?
Hmmm, actually maybe do \(\sqrt{1+\sin\theta}\)
\[=\frac{ 2\sin \frac{ \theta }{ 2 }\cos \frac{ \theta }{ 2 } }{ \sqrt{\cos ^2 \frac{ \theta }{ 2 }+\sin ^2\frac{ \theta }{ 2 }-2\sin \frac{ \theta }{ 2 }\cos \frac{ \theta }{ 2 }} }\] \[=\frac{ 2 \sin \frac{ \theta }{ 2 }\cos \frac{ \theta }{ 2} }{ \left( \cos \frac{ \theta }{2 }-\sin \frac{ \theta }{2 } \right) }\]
\[ \frac{\sin \theta \sqrt{1+\sin\theta}}{\sqrt{1-\sin^2\theta}} = \frac{\sin \theta \sqrt{1+\sin\theta}}{|\cos\theta|} \]
tan Θ tan2 Θ 1 −1 These are the choices.
there is something wrong in your statement.
You're right. I just checked. The 1-sin Θ is actually 1-sin^2Θ I apoligize, It didn't paste correctly.
is it \[\frac{ \sin \theta }{ \sqrt{1-\sin ^2\theta } }?\]
Yes.
very simple use \[\sin ^2\theta+\cos ^2\theta=1\]
Wow, that was simple. Thank you so much for all of your time.
yw
\[opp^2+adj^2=hyp^2 \\ \text{ and we know the } adj \text{ and the hyp } \\ \text{ just solve for opp}\]
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