SOLUTION: I need to prove this identity tan^2x-sin^2x = tan^2xsin^2x

Question 714759: I need to prove this identity
tan^2x-sin^2x = tan^2xsin^2x
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
I need to prove this identity
tan^2x-sin^2x = tan^2xsin^2x
start with left side:
tan^2x-sin^2x
=(sin^2x/cos^2x)-sin^2x
=(sin^2x-sin^2xcos^2x)/cos^2x
=sin^2x(1-cos^2x)/cos^2x
=sin^2x*sin^2x/cos^2x
=tan^2xsin^2x
verified:
left side=right side
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