2sin^2 (x)=2 +cos (x)

2(1-cos^2 (x))=2 +cos (x)

2-2cos^2 (x)=2 +cos (x)

2cos^2 (x)+cos (x)=0

cos (x)(2cos (x)+1)=0

cos (x)=0 and (2cos (x)+1)=0

cos (x)=0 and cos (x)=-1/2

on the interval [0, 2pi) cos (x) = 0 when x = pi/2 and x=3pi/2

on the interval [0, 2pi) cos (x) = -1/2 when x = 2pi/3 and x= -2pi/3

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