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