SOLUTION: Prove the trig identity (sinx/1-sinx)-(sin x/1+sinx)=2tan^2x

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Question 928224: Prove the trig identity (sinx/1-sinx)-(sin x/1+sinx)=2tan^2x
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

sin%28x%29%2F%281-sin%28x%29%29-sin+%28x%29%2F%281%2Bsin%28x%29%29=2tan%5E2%28x%29

start with left side:
sin%28x%29%2F%281-sin%28x%29%29-sin+%28x%29%2F%281%2Bsin%28x%29%29=

=

=

%282sin%5E2%28x%29%29%2F%281-sin%5E2%28x%29%29=...use identity 1-sin%5E2%28x%29=cos%5E2%28x%29

2%28sin%5E2%28x%29%2Fcos%5E2%28x%29%29=

2tan%5E2%28x%29