SOLUTION: Prove the following identity: tan^2x

SOLUTION: Prove the following identity: tan^2x - sin^2x = (sin^2x)(tan^2x)

Question 18522: Prove the following identity: tan^2x - sin^2x = (sin^2x)(tan^2x)
Answer by kapilsinghi(68) (Show Source): You can put this solution on YOUR website!
tan^2x - sin^2x = (sin^2x)(tan^2x)
sin^2x/cos^2x - sin^2x
sin^2x(1/cos^2x - 1)
sin^2x((1-cos^2x)/cos^2x)
sin^2x(sin^2x/cos^2x)
sin^2x(tan^2x)
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