Prove that .

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Prove that sin⁡A⋅sin⁡(60∘−A)⋅sin⁡(60∘+A)=14sin⁡3A\sin A \cdot \sin(60^\circ - A) \cdot \sin(60^\circ + A) = \frac{1}{4} \sin 3A.

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