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