Use identities to simplify $\frac{\csc x}{\sec x}$.

Step 1 ：The given expression is \(\frac{\csc x}{\sec x}\).

Step 2 ：We know that \(\csc x = \frac{1}{\sin x}\) and \(\sec x = \frac{1}{\cos x}\).

Step 3 ：So, we can substitute these values into the expression to simplify it.

Step 4 ：The expression \(\frac{\csc x}{\sec x}\) simplifies to \(\frac{\cos x}{\sin x}\).

Step 5 ：But we know that \(\frac{\cos x}{\sin x}\) is equal to \(\cot x\).

Step 6 ：So, the final simplified form of the given expression is \(\cot x\).

Step 7 ：Final Answer: \(\boxed{\cot x}\)