Answer
$ \frac{\sin\theta - \cos\theta}{\sin\theta\cos\theta}$
Work Step by Step
Given expression is-
$ \frac{1}{\cos\theta} - \frac{1}{\sin\theta} $
= $ \frac{\sin\theta}{\sin\theta}.\frac{1}{\cos\theta} - \frac{1}{\sin\theta}.\frac{\cos\theta}{\cos\theta} $
= $ \frac{\sin\theta}{\sin\theta\cos\theta} - \frac{\cos\theta}{\sin\theta\cos\theta} $
= $ \frac{\sin\theta - \cos\theta}{\sin\theta\cos\theta}$
