Find the lim of theta/sin(theta) as theta tends to 0.
Well, you know that $\displaystyle \lim_{\theta\to0}\frac{\sin{\theta}}{\theta}=1$. So, what's the reciprocal of one?.....
Look at the proof of $\displaystyle \lim_{\theta\to0}\frac{\sin{\theta}}{\theta}=1$ in your text. Is the squeeze theorem still valid if you take reciprocals before evaluating the limit?