I am working on a problem that is looking to prove $\lim\_{x\to0}\frac{\sin\theta}{\theta} = 1$. At the particular point I am working on, I have to prove $1 < \frac{\theta}{\sin\theta} < \frac{1}{\cos\theta}$ can be written as $\cos\theta < \frac{\sin\theta}{\theta} < 1$. I assume that you need to multiply everything by $\cos\theta$, but I am not sure how to prove that $\frac{\cos\theta \cdot \theta}{\sin\theta} = \frac{\sin\theta}{\theta}$. The domain is $0 < \theta < \frac{\pi}{2}$.