Prove that .

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

Problem

Prove that sin⁡(x+y)sin⁡(x−y)=cos⁡2y−cos⁡2x2\displaystyle \sin(x+y)\sin(x-y) = \frac{\cos 2y - \cos 2x}{2}.

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