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
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