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