SOLUTION: Csc^2 theta - cot theta - 1=0

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Question 958355: Csc^2 theta - cot theta - 1=0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
For: [0,2π)
Csc^2 theta - cot theta - 1=0
%281%2Fsin%5E2%28x%29%29-%28cosx%2Fsinx%29-1=0
lcd: sin^2(x)
%281-cosxsinx%29-sin%5E2%28x%29=0
%281-cosxsinx%29-%281-cos%5E2%28x%29%29=0
%28-cosxsinx%29%2Bcos%5E2%28x%29%29=0
-cosx%28sinx-cosx%29=0
-cosx=0
x=π/2, 3π/2
or
sinx-cosx=0
sinx=cosx
x=π/4, 5π/4