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