Find the value of (in degrees) if and .

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

Problem

Find the value of θ\theta (in degrees) if 0∘<θ<45∘0^{\circ} < \theta < 45^{\circ} and sin⁡2θ=32\sin 2\theta = \dfrac{\sqrt{3}}{2}. (a) 60∘60^{\circ} (b) 30∘30^{\circ} (c) 15∘15^{\circ} (d) 45∘45^{\circ}

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