help solving identity simple problem

**micbal9388** · April 22nd 2010, 01:50 PM

I'm confused at how to use identities to solve problems such as sin(2theta)sin theta = cosine theta? Another example of a problem would be sin(2 theta) = cosine theta
Can anyone help?

**pickslides** · April 22nd 2010, 02:09 PM

Originally Posted by micbal9388

I'm confused at how to use identities to solve problems such as sin(2theta)sin theta = cosine theta?

Maybe try

$\sin 2\theta \sin \theta = \cos\theta$

$2\sin \theta \cos\theta \sin \theta = \cos\theta$

$2\sin \theta \sin \theta = 1$

$2\sin ^2\theta = 1$

$\sin ^2\theta = \frac{1}{2}$

$\sin \theta = \frac{1}{\sqrt{2}}$

Can you finish it from here?

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