Solve for . Which of the following sets contains all…

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

Problem

Solve sin⁡2x=cos⁡x\sin 2x=\cos x for 0∘<x<360∘0^{\circ}<x<360^{\circ}. Which of the following sets contains all solutions? (a) 30∘,  150∘30^{\circ},\;150^{\circ} (b) 30∘,  90∘,  150∘,  270∘30^{\circ},\;90^{\circ},\;150^{\circ},\;270^{\circ} (c) 90∘,  270∘90^{\circ},\;270^{\circ} (d) 30∘,  150∘,  210∘,  330∘30^{\circ},\;150^{\circ},\;210^{\circ},\;330^{\circ}

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