The number of distinct solutions of the equation $\log _{\frac{1}{2}}|\sin x|=2-\log _{\frac{1}{2}}|\cos x|$ in the interval $[0,2 \pi],$ is

  • [JEE MAIN 2020]
  • A

    $8$

  • B

    $5$

  • C

    $11$

  • D

    $12$

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