Ask Me Help Desk - Solving trig identity

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Solving trig identity

How do I solve this trig identity? I keep coming up blank!

sin (theta) cos (theta)
________ __ _________ = 0

-cos(theta) sin(theta)

I know I need to find the common denominator and end up with

1
___________________________ = 0

-cos(theta) sin(theta)

Now what??

Please help??

Is this what you mean?:

$\frac{sin({\theta})}{-cos({\theta})}-\frac{cos({\theta})}{sin({\theta})}$

If so, you are correct. It simplifies to:

$\frac{-1}{sin({\theta})cos({\theta})}=\frac{-2}{sin(2{\theta})}$

In that event, there are no values of theta which result in 0 because of the denominator.

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