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The number of distinct solutions of the equation, $\log_{1/2}|\sin x| = 2 - \log_{1/2}|\cos x|$ in the interval $[0, 2\pi]$, is ______.
$\log_{1/2} |\sin x \cos x| = 2 \Rightarrow |\sin x \cos x| = \frac{1}{4} \Rightarrow \sin 2x = \pm\frac{1}{2}$
Total number of solutions $= 8$.
BETA
