SOLUTION: prove trigonometric identity for tan^2(x)-tan^2(x)sin^2(x)=sin^2(x)

Algebra ->  Trigonometry-basics -> SOLUTION: prove trigonometric identity for tan^2(x)-tan^2(x)sin^2(x)=sin^2(x)      Log On


   

Question 604037: prove trigonometric identity for tan^2(x)-tan^2(x)sin^2(x)=sin^2(x)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
prove trigonometric identity for
tan^2(x)-tan^2(x)sin^2(x)=sin^2(x)
tan^2-tan^2sin^2=sin^2
starting with left side
tan^2-tan^2sin^2
=tan^2(1-sin^2)
=tan^2*cos^2
=(sin^2/cos^2)*cos^2
=sin^2
verified:
left side=right side