SOLUTION: verify the identity. {{{(1-sinx)/(1+sinx)=(sec(x)-tan(x))^2}}}.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: verify the identity. {{{(1-sinx)/(1+sinx)=(sec(x)-tan(x))^2}}}.      Log On

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Question 863445: verify the identity.
%281-sinx%29%2F%281%2Bsinx%29=%28sec%28x%29-tan%28x%29%29%5E2.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281-sinx%29%2F%281%2Bsinx%29=%28sec%28x%29-tan%28x%29%29%5E2





%281-sinx%29%2F%281%2Bsinx%29=%28%281-sin%28x%29%29%2F%28cos%28x%29%29%29%5E2


%281-sinx%29%2F%281%2Bsinx%29=%28%281-sin%28x%29%29%5E2%29%2F%28cos%5E2%28x%29%29


%281-sinx%29%2F%281%2Bsinx%29=%28%281-sin%28x%29%29%5E2%29%2F%281-sin%5E2%28x%29%29














%281-sinx%29%2F%281%2Bsinx%29=%281-sin%28x%29%29%2F%281%2Bsin%28x%29%29 \color{green}\checkmark


So the identity is confirmed. Notice how I did NOT alter the left side at all. I only changed the right side.