Svar:
# S = {pi / 6 + 2pin, (5pi) / 6 + 2pin, x = pi / 2 + 2pin} #
Forklaring:
Brug Double Argument Property:
# Cos2A = 1-2sin ^ 2A #
# 1-2sin ^ 2x + 3sinx-2 = 0 #
# 2sin ^ 2x-3sinx + 1 = 0 #
# (2sinx-1) (sinx-1) = 0 #
# 2sinx-1 = 0 eller sinx-1 = 0 #
# sinx = 1/2 eller sinx = 1 #
# x = sin ^ -1 (1/2) eller x = sin ^ -1 1 #
# x = pi / 6 + 2pin, (5pi) / 6 + 2pin eller x = pi / 2 + 2pin #
# S = {pi / 6 + 2pin, (5pi) / 6 + 2pin, x = pi / 2 + 2pin} #
