Find all solutions in the interval 0° ≤ 𝜃 < 360°. If rounding is necessary, round to the nearest tenth of a degree.

Question

cos 𝜃 − 2 sin 𝜃 cos 𝜃 = 0

Answer 1

cosθ(1 - 2sinθ) = 0; cosθ = 0 or sinθ = 1/2;

θ = 90°, θ = 270°, θ = 30°; θ = 150°

Answer 2

Zero Product Rule from Algebra 1-2

cos θ - 2 sin θ cos θ = 0

cos θ (1 - 2 sin θ) = 0

cos θ = 0

or

1 - 2 sin θ = 0

Can you solve for θ and answer?