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## Homework Statement

Verify (1-cos^2 (a))(1+cos^2(a)) = 2sin^2 (a) -sin^4 (a). I cant simplify the (1+cos^2(a)). Also can not tell if I can simplify the other side as well.

## Homework Equations

sin^2 a + cos^2 a = 1

## The Attempt at a Solution

So using the Pythagorean identity, I have been able to simplify this to:

(sin^2 (a))(1+cos^2) ) = 2sin^2 (a) -sin^4 (a).

I am just stuck in simplifying the part after sin^2 (a). Also cant seem to simplify the other side. Any assistance is awesome.