Answer
$\tan^{2}\theta$
Work Step by Step
Given expression is-
$\frac{\tan\theta}{\cot\theta}$
= $\frac{\sin\theta/\cos\theta}{\cos\theta/\sin\theta}$
= $ \frac{\sin\theta}{\cos\theta} \times \frac{\sin\theta}{\cos\theta}$
= $\frac{\sin^{2}\theta}{\cos^{2}\theta}$
= $\tan^{2}\theta$
Alternate Method-
$\frac{\tan\theta}{\cot\theta}$ = $\tan\theta\times\frac{1}{\cot\theta}$
= $\tan\theta\times\tan\theta$
= $\tan^{2}\theta$
