Verify the identity tan^2 θ sin^2 θ = tan^2 θ − sin^2 θ

Answer 1

sin^2/cos^2 * sin^2 = sin^4/cos^2 = (sin^2)(sin^2)/cos^2 = (1 - cos^2)(sin^2)/cos^2

= (sin^2 - sin^2cos^2)/cos^2

sin^2/cos^2 - sin^2 = (sin^2 - sin^2 cos^2)/cos^2