Question

2 sin squared x= 4 sinx+6

Answer 1

x = 3π/2 + 2πk

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

x = 3π/2 + 2πk