Answer
$$\frac{\sec x}{\csc x}=\tan x$$
$\text{E}$ is the answer.
Work Step by Step
$$A=\frac{\sec x}{\csc x}$$
2 Reciprocal Identities related to $\sec\theta$ and $\csc\theta$ state that $$\sec\theta=\frac{1}{\cos\theta}$$
$$\csc\theta=\frac{1}{\sin\theta}$$
That means we can rewrite $A$ as follows:
$$A=\frac{\frac{1}{\cos x}}{\frac{1}{\sin x}}$$
$$A=\frac{\sin x}{\cos x}$$
Also, from Quotient Identities, we know
$$\tan\theta=\frac{\sin\theta}{\cos\theta}$$
Therefore, $$A=\tan x$$
$\text{E}$ is the answer.
