SOLUTION: Prove: (sec^2x -1) / (sec^2x)= sin^2x Thanks

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Question 838600: Prove:
(sec^2x -1) / (sec^2x)= sin^2x
Thanks
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Prove:
(sec^2x -1) / (sec^2x)= sin^2x
%28sec%5E2%28x%29-1%29%2Fsec%5E2%28x%29=sin%5E2%28x%29
start with left side:
%28sec%5E2%28x%29-1%29%2Fsec%5E2%28x%29
..
%28tan%5E2%28x%29%29%2Fsec%5E2%28x%29
..
%28sin%5E2%28x%29%2Fcos%5E2%28x%29%29%2F%281%2Fcos%5E2%28x%29%29=sin%5E2%28x%29
verified:left side=right side