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