SOLUTION: Prove the identity: Cosx/1-sinx - sinx/cosx = 1/cosx

Algebra ->  Trigonometry-basics -> SOLUTION: Prove the identity: Cosx/1-sinx - sinx/cosx = 1/cosx       Log On


   

Question 889596: Prove the identity:
Cosx/1-sinx - sinx/cosx = 1/cosx



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Prove the identity:
Cosx/1-sinx - sinx/cosx = 1/cosx
---------------------
cos^2/(1-sin) - sin = 1
cos^2/(1-sin) = 1 + sin
(1-sin^2)/(1-sin) = 1 + sin
1+sin = 1+sin
QED