Answer
Showed that given statement, $\sin\theta\cot\theta$ = $\cos\theta$,
is an identity as left side transforms into right side.
Work Step by Step
Given statement is-
$\sin\theta\cot\theta$ = $\cos\theta$
Left Side = $ \sin\theta\cot\theta$
= $ \sin\theta.\frac{\cos\theta}{\sin\theta}$
(Using ratio identity)
= $\cos\theta$
( As $\sin\theta$ cancels out $\sin\theta$ )
= Right Side
Thus proved that-
Left Side = Right Side
i.e. Given statement, $\sin\theta\cot\theta$ = $\cos\theta$,
is an identity.
