SOLUTION: 2sin^2x-1=0 solve step by step

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Question 1010316: 2sin^2x-1=0
solve step by step
Answer by lwsshak3(11628) About Me  (Show Source):
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2sin^2x-1=0
2(1-cos^2x)-1=0
2- 2cos^2x-1=0
-2cos^2x+1=0
1=2cos^2x
2cos^2x=1
cos^2x=1/2
cosx=±√(1/2)=±√2/2
x=45, 135, 225 and 315 deg (from 0 to 2pi)