Assuming that you are working with $\displaystyle \displaystyle \begin{align*} \theta > 0, \cos{\theta} > 0 \end{align*}$, then we have
$\displaystyle \displaystyle \begin{align*} \theta &< \frac{\sin{\theta}}{\cos{\theta}} \\ \theta \cos{\theta} &< \sin{\theta} \\ \cos{\theta} &< \frac{\sin{\theta}}{\theta} \end{align*}$