2sin<sup>2</sup>x = 2 + cosx
2(1 - cos<sup>2</sup>x) = 2 + cosx
2 - 2cos<sup>2</sup>x = 2 + cosx
0 = 2cos<sup>2</sup>x + cosx
0 = cosx(2cosx + 1)
cosx = 0 ... x = pi/2, x = 3pi/2
2cosx + 1 = 0
cosx = -1/2 ... x = 2pi/3, x = 4pi/3
so ... tell me the benefits of home skoolin' again?