Solve for . Which set lists all possible values of in…

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Solve sin⁡3θ=32\sin 3\theta=\dfrac{\sqrt{3}}{2} for 0∘≤θ<180∘0^{\circ}\le\theta<180^{\circ}. Which set lists all possible values of θ\theta in degrees? (a) 20∘, 40∘20^{\circ},\,40^{\circ} (b) 60∘, 120∘60^{\circ},\,120^{\circ} (c) 20∘, 80∘, 140∘20^{\circ},\,80^{\circ},\,140^{\circ} (d) 20∘, 40∘, 140∘, 160∘20^{\circ},\,40^{\circ},\,140^{\circ},\,160^{\circ}

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