SOLUTION: Prove that the following is an identity. (1-sin^2x/1-sinx) = (cscx+1/cscx)

Algebra ->  Trigonometry-basics -> SOLUTION: Prove that the following is an identity. (1-sin^2x/1-sinx) = (cscx+1/cscx)      Log On


   

Question 1003076: Prove that the following is an identity.
(1-sin^2x/1-sinx) = (cscx+1/cscx)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(1-sin^2x/1-sinx) = (cscx+1/cscx)

(1-sin^2(x))/(1-sinx)

%28%281-sin%28x%29%29%281%2Bsin%28x%29%29%2F%281-sin%28x%29%29%29

= +%281+%2B+sin%28x%29%29
= +%281%2B+%281%2Fcscx%28x%29%29%29

=%28csc%28x%29+%2B+1%29%2Fcscx%28x%29
= RHS