Let and . Find the value of…

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Let x∈(0,π2)x\in\left(0,\frac{\pi}{2}\right) and log⁡24sin⁡x(24cos⁡x)=32\log_{24\sin x}(24\cos x)=\frac{3}{2}. Find the value of csc⁡2x\csc^2x.

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