Question

Verify the identity sin^2x = cos^2x sec^2x-cos^2x

Answer 1

Explanation:

The right side of the identity

`cos^(2) x sec^(2) x - cos^(2) x\\= cos^(2) x ((1)/(cos^(2) x) ) - cos^(2) x\\= 1 - cos^(2) x\\= sin^(2) x`

which is the same as the left side of the identity