Find the number of ordered pairs satisfying

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Find the number of ordered pairs (x,y)(x,y) satisfying x4+18x2=sin⁡2ycos⁡2y\dfrac{x^4+1}{8x^2}=\sin^2y\cos^2y, where y∈[0,2π]y\in[0,2\pi].

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