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.