Verify the identity Simplify at each step 8 cos2 beta 8 sin

Verify the identity. (Simplify at each step.) 8 cos^2 beta - 8 sin^2 beta = 8 - 16 sin^2 beta 8 cos^2 beta - 8 sin^2 beta = (8 -8 sin^2 beta = 8 - 16 sin^2 beta

Solution

8cos²B -8sin²B

=8(1-sin²B) -8sin²B

=8-8sin²B -8sin²B

=8-16sin²B