Find all solutions of the equation .

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

Problem

Find all solutions (x,y)(x,y) of the equation 4(34x−x2sin⁡2(x+y2)+2cos⁡(x+y))=13+4cos⁡2(x+y)4\left(3\sqrt{4x-x^2}\sin^2\left(\frac{x+y}{2}\right)+2\cos(x+y)\right)=13+4\cos^2(x+y).

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