The number of solutions to the equation $\cos ^4 x+\frac{1}{\cos ^2 x}=\sin ^4 x+\frac{1}{\sin ^2 x}$ in the interval $[0,2 \pi]$ is

  • [KVPY 2014]
  • A

    $6$

  • B

    $4$

  • C

    $2$

  • D

    $0$

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