Solve the equation exactly over the interval [0,360°). sin 2θ = cos θ?

Answer 1

2 * sin x * cos x = cos x

2 * sin x = 1

sin x = 0.5

x = 30 degree
x = 150 degree
-

x stands instead of omega

Answer 2

sin2t - cost = 0
2sintcost - cost = 0
cost(2sint - 1) = 0
cos t = 0 or 2sint - 1 = 0
t = 90 and 270 and sin t = 0.5 --> t = 30 & 150
t = 30, 90, 150, 270