Hey,

This is a problem in my Calculus book, but I'm pretty sure it's a trig issue.

The problem is: $\displaystyle \lim_{\theta\to0}\frac{\sin{\theta}}{\theta+\tan{\ theta}}$

I know the answer is: $\displaystyle \frac{1}{2}$

I've tried running through a list of Properties, Identities, and Formulas; I still can't seem to obtain the correct answer.

I get as far as: $\displaystyle \lim_{\theta\to0}\frac{\sin{\theta}\cos{\theta}}{\ theta\cos{\theta}+\sin{\theta}}$

Thanks!