equations trig
posted by LiNnda .
2cos^2x3sinx=0

2(1  sin^2x)  3sinx = 0
2sin^2x  3sinx + 2 = 0
2sin^2x + 3sinx  2 = 0
(2sinx 1)(sinx + 2) = 0
sinx = 1/2 or sinx = 2
x = 30° or 150° or (sinx = 2 has no solution)
x = 30 or 150 ° which is also π/6 or 5π/6 radians