Triginometric Identities

1. Sep 25, 2005

brandon26

I have been trying to solve this question for some time but I just cannot find the right solution:

Simplify: 4cosec^2X + (4cosec^2X)(cot^2X)

2. Sep 25, 2005

Fermat

Take out the common factor.

3. Sep 25, 2005

arildno

As a follow up to Fermat's suggestion, show that:
$$1+cot^{2}(y)=\frac{1}{\sin^{2}y}$$