SOLUTION: Find all the solutions of Cos^2x-Sin^2x+3Sinx-2=0

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Question 400644: Find all the solutions of Cos^2x-Sin^2x+3Sinx-2=0
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Cos^2x -Sin^2x+3Sinx-2=0 |Cos^2x = 1-sin^2x
1-Sin^2x -Sin^2x+3Sinx-2=0
-2Sin^2x + 3sinx - 1 = 0
factoring
(-2Sinx +1)(Sinx - 1) = 0
(-2Sinx +1)=0
Sinx = 1/2 x = pi/6, 5pi/6
(Sinx - 1) = 0
Sinx = 1 x = pi/2
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