SOLUTION: Please help me solve this identity step by step (1-sin^2x)/cot^2x=sqrt (2)/2

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Question 958694: Please help me solve this identity step by step
(1-sin^2x)/cot^2x=sqrt (2)/2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this identity step by step
For [0, 2π)
%281-sin%5E2%28x%29%29%2Fcot%5E2%28x%29=sqrt+%282%29%2F2
%28cos%5E2%28x%29%29%2F%28cos%5E2%28x%29%2Fsin%5E2%28x%29%29=sqrt+%282%29%2F2
sin%5E2%28x%29=sqrt+%282%29%2F2
sinx=±√2/2
x=π/4, 3π/4, 5π/4, 7π/4