SOLUTION: Solve: 5-5sinx=2cos^2x

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Question 1031053: Solve:
5-5sinx=2cos^2x
Answer by mananth(16946) About Me  (Show Source):
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5-5sinx=2cos^2(x)
5-5sinx =2(1-sin^2(x))
5-5sinx =2-2sin^2(x)
2sin^2(x)-5sinx+3=0
2sin^2(x)-3sinx-2sinx+3 =0

sinx(2sinx-3)-1(2sinx-3)=0

(sinx-1)(2sinx-3)=0
sinx =1 OR sinx = 3/2