Answer
Showed that given statement, $ \sin\theta\sec\theta\cot\theta$ = $1$,
is an identity as left side transforms into right side.
Work Step by Step
Given statement is-
$ \sin\theta\sec\theta\cot\theta$ = $1$
Left Side = $ \sin\theta\sec\theta\cot\theta$
= $ \sin\theta.\frac{1}{\cos\theta}.\frac{\cos\theta}{\sin\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, $ \sin\theta\sec\theta\cot\theta$ = $1$,
is an identity.
