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

Algebra ->  Trigonometry-basics -> SOLUTION: Prove the following identity: tan^2x - sin^2x = (sin^2x)(tan^2x)      Log On


   



Question 18522: Prove the following identity: tan^2x - sin^2x = (sin^2x)(tan^2x)
Answer by kapilsinghi(68) About Me  (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)
kapilsinghi123@gmail.com