find all the values of x that satisfy the equation: 2sin^2(x) + 1 = 3sin(x).

Answer 1

2sin^2(x) - 3sin(x) + 1 = 0
(2sinx - 1)(sinx - 1) = 0

sinx = 1/2 or sinx = 1

In [0,2π)

x = π/6 or 5π/6 or π/2