# Question #4cc50

$\cos \frac{x}{\sec} x = {\cos}^{2} x$
Since $\sec x = \frac{1}{\cos} x$, you would get:
$\cos \frac{x}{\sec} x = \cos \frac{x}{\frac{1}{\cos} x} = \cos x \cdot \cos \frac{x}{1} = {\cos}^{2} x$