Answer
$\cot\theta$ = $ \frac{\sqrt (1-\sin^{2}\theta)}{\sin\theta}$
Work Step by Step
From ratio identity-
$\cot\theta$ = $ \frac{\cos\theta}{\sin\theta}$
$\cot\theta$ = $ \frac{\sqrt (1-\sin^{2}\theta)}{\sin\theta}$
[From Pythagorean identity, $\cos\theta$ can be written as $\sqrt (1-\sin^{2}\theta)$]
