The number of integral solutions of the equation _ x ^2x + _ x ^2x =2

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

Problem

The number of integral solutions of the equation log⁡sin⁡xsin⁡2x+log⁡cos⁡xcos⁡2x=2,\log_{\sin x}\sqrt{\sin^2x}+\log_{\cos x}\sqrt{\cos^2x}=2, where x∈[0,6π]x\in[0,6\pi], is

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