How many distinct values of in satisfy the equation ?

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

Problem

How many distinct values of θ\theta in 0∘≤θ≤360∘0^{\circ} \le \theta \le 360^{\circ} satisfy the equation sin⁡2θ=sin⁡θ\sin 2\theta = \sin \theta? (a) 33 (b) 55 (c) 44 (d) 66

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