Verify the following:

Question

tan^2 - sin^2 = tan^2 x sin^2

Thanks.

Answer 1

LS = sin^2x/cos^2 - sin^2x
= (sin^2x - sin^2cos^2x)/cos^2x
= sin^2(1 - cos^2x)cos^2
= (sin^2x)(sin^2x)/cos^2x
= (tan^2x((sin^2x)
= RS