Determine all solutions of that lie in the interval .

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Determine all solutions of sin⁡3θ=0\sin 3\theta = 0 that lie in the interval 0∘<θ≤180∘0^{\circ} < \theta \le 180^{\circ}. (a) {60∘, 90∘, 150∘}\{60^{\circ},\,90^{\circ},\,150^{\circ}\} (b) {30∘, 90∘, 150∘}\{30^{\circ},\,90^{\circ},\,150^{\circ}\} (c) {60∘, 120∘, 180∘}\{60^{\circ},\,120^{\circ},\,180^{\circ}\} (d) {60∘, 120∘}\{60^{\circ},\,120^{\circ}\}

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