Answer
(a). $\cos\theta$
Work Step by Step
Given expression-
$\frac{\cot\theta}{\csc\theta}$
Using ratio and reciprocal identities-
= $\frac{\cos\theta/\sin\theta}{1/\sin\theta}$
= $\frac{\cos\theta}{\sin\theta} \times \frac{\sin\theta}{1}$
= $\cos\theta$
