If , then prove that…

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

Problem

If A+B+C=180∘A + B + C = 180^\circ, then prove that sin⁡2A+sin⁡2B+sin⁡2C=4sin⁡Asin⁡Bsin⁡C\sin 2A + \sin 2B + \sin 2C = 4 \sin A \sin B \sin C.

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