SOLUTION: Solve: Sin^4 x - sin^2 x - 3sin^2 x + 3 = 0

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Question 970569: Solve:
Sin^4 x - sin^2 x - 3sin^2 x + 3 = 0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve: [0, 2π)
Sin^4 x - sin^2 x - 3sin^2 x + 3 = 0
sin%5E4%28x%29-sin%5E2%28x%29-3sin%5E2%28x%29%2B3=0
sin%5E4%28x%29-4sin%5E2%28x%29%2B3=0
%28sin%5E2%28x%29-3%29%28sin%5E2%28x%29-1%29=0
..
sin^2(x)-3=0
sin^2(x)=3
sinx=±√3 (reject,(-1 < sinx < 1))
or
sin^2(x)-1=0
sinx=±√1=±1
x=π/2, 3π/2