Respuesta :

Answer:

θ = 180° or 360°

Step-by-step explanation:

sin θ(2 cos θ -3) = 0

either sin θ = 0     or    2 cos θ -3 = 0

since -1 ≤ cos θ ≤ 1, therefore 2 cos θ -3 never equals 0  (-2 ≤ 2 cos θ ≤ 2)

∴ sin θ = 0                0° ≤ θ ≤ 360                 θ = 180° or 360°

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