Решите!!! 2синус^2 х +3синусх= 2
2sin²(x) + 3sin(x) = 2 1 - cos2x + 3sinx = 2 1 - cos²x + sin²x + 3sinx = 2 2sin²x + 3sinx - 2 = 0 a = sinx 2a² + 3a - 2 = 0 D = 9 - 4 * 2 * (-2) = 25 a1,2 = (-3 ± 5)/4 a1 = -2 a2 = 1/2 sinx = -2 (быть не может) sinx = 1/2 x = p/6