If and are acute angles

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

Problem

If xx and yy are acute angles, such that cos⁡x+cos⁡y=32\cos x + \cos y = \frac{3}{2} and sin⁡x+sin⁡y=34\sin x + \sin y = \frac{3}{4} , then the value of sin⁡(x+y)\sin(x + y) .

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