Answer
$\cot x \sec x \sin x=1$
Work Step by Step
We need to prove the identity $\cot x \sec x \sin x=1$
Since, $\cot x=\dfrac{\cos x}{\sin x}$
Then, we have
$\cot x \sec x \sin x=\dfrac{\cos x}{\sin x} \times \dfrac{1}{\cos x} \times \sin x$
$= 1$
which is the left hand side.
Thus, the identity has been proved.
