Answer
Showed that given statement, $ \cos\theta\csc\theta\tan\theta$ = $1$,
is an identity as left side transforms into right side.
Work Step by Step
Given statement is-
$ \cos\theta\csc\theta\tan\theta$ = $1$
Left Side = $ \cos\theta\csc\theta\tan\theta$
= $ \cos\theta.\frac{1}{\sin\theta}.\frac{\sin\theta}{\cos\theta}$
(Using reciprocal and ratio identity)
= $1$
( As $\sin\theta$ cancels out $\sin\theta$ and $\cos\theta$ cancels out $\cos\theta$ )
= Right Side
i.e. Left Side transforms into Right Side
i.e. Given statement, $ \cos\theta\csc\theta\tan\theta$ = $1$,
is an identity.
