How do you simplify  csc Y / sec Y ?

Refer to explanation

Explanation:

Remember that $\sec y = \frac{1}{\cos} y$ ; $\csc y = \frac{1}{\sin} y$ hence we have that

$\csc \frac{y}{\sec} y = \frac{\frac{1}{\sin} y}{\frac{1}{\cos} y} = \cos \frac{y}{\sin} y$