Find all numbers that satisfy .

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

Problem

Find all numbers x,yx,y that satisfy (sin⁡2x+1sin⁡2x)2+(cos⁡2x+1cos⁡2x)2=12+12sin⁡y\left(\sin^2x+\dfrac{1}{\sin^2x}\right)^2+\left(\cos^2x+\dfrac{1}{\cos^2x}\right)^2=12+\dfrac12\sin y.

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