SOLUTION: Prove the identity: (Cosx /1-sinx) - (cosx/1+sinx) =2tanx

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Question 901044: Prove the identity:
(Cosx /1-sinx) - (cosx/1+sinx) =2tanx
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Prove the identity:
(Cosx /1-sinx) - (cosx/1+sinx) =2tanx
start with left side:
cos%28x%29%2F%281-sin%28x%29%29-cos%28x%29%2F%281%2Bsin%28x%29%29
%28cos%28x%29%281%2Bsin%28x%29%29-cos%28x%29%281-sin%28x%29%29%29%2F%281-sin%5E2%28x%29%29
%28cos%28x%29%281%2Bsin%28x%29%29-cos%28x%29%281-sin%28x%29%29%29%2F%28cos%5E2%28x%29%29
%281%2Bsin%28x%29-%281-sin%28x%29%29%29%2F%28cos%28x%29%29
2sin(x)/cos(x)=2tan(x)
verified: left side=right side