Find the solutions of the equation 3cos(2 theta) - 5cos(theta) + 2 = 0 in the interval 0 < theta < 2pi.
3cos^2(theta) - 3sin^2(theta) - 5cos(theta) + 2 = 0
3cos^2(theta) + 3cos^2(theta) - 3 - 5cos(theta) + 2 = 0
6cos^2(theta) - 5cos(theta) - 1 = 0
delta = 25 + 24 = 49
cos(theta) = (5 - 7)/12 = -1/6 or cos(theta) = 1
theta = 0 or arccos(-1/6) or 2pi - arccos(-1/6) or 2pi
PW
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