SOLUTION: Verify each identity: (sin^2x-sin^2x*cos^2x)/cos^2x=tan^2x*sin^2x

SOLUTION: Verify each identity: (sin^2x-sin^2xcos^2x)/cos^2x=tan^2xsin^2x

Question 1074353: Verify each identity:
(sin^2x-sin^2x*cos^2x)/cos^2x=tan^2x*sin^2x
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(sin^2x-sin^2x*cos^2x)/cos^2x = tan^2x*sin^2x
(sin^2x-sin^2x*cos^2x)/cos^2x = (sin^2x/cos^2x)*sin^2x
Multiply by cos ^2
sin^2x-sin^2x*cos^2x = sin^2x*sin^2x
sin^2x*(1 - cos^2x) = sin^2x*sin^2x
sin^2*sin^2 = sin^2*sin^2
QED

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