Answer:
x = 3π/2 + 2πk
Step-by-step explanation:
2 sin² x = 4 sin x + 6
2 sin² x − 4 sin x − 6 = 0
sin² x − 2 sin x − 3 = 0
(sin x − 3) (sin x + 1) = 0
sin x − 3 = 0
sin x = 3
no solution
sin x + 1 = 0
sin x = -1
