Question 889493: Prove the identity:
Tan^2(x)/(1+tan^2(x)) = sin^2(x)
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website!
you will use the identiTy tan^2(x) + 1 = sec^2(x)
your equation becomes:
tan^2(x) / sec^(x) = sin^2(x)
since sec^(x) = 1/cos^2(x), your equation becomes:
tan^2(x) * cos^2(x) = sin^2(x)
since tan^2(x) = sin^2(x) / cos^2(x), your equation becomes:
sin^2(x) / cos^2(x) * cos^2(x) = sin^2(x)
the cos^2(x) in the numerator and denominator cancel out and you are left with:
sin^2(x) = sin^2(x)
QED (means proof is done)
|
|
|
