trig
posted by Sur .
2sin^2x1=0[0,2pi)

2 sin ^ 2 ( x )  1 = 0
2 sin ^ 2 ( x ) = 1 Divide both sides by 2
sin ^ 2 ( x ) = 1 / 2
sin ( x ) = ± 1 / sqrt ( 2 )
sin ( x ) = 1 / sqrt ( 2 )
for
x = pi / 4 and x = 3 pi / 4
sin ( x ) =  1 / sqrt ( 2 )
for
x = 5 pi / 4 and x = 7 pi / 4