The number of real solutions $x$ of the equation $\cos ^2(x \sin (2 x))+\frac{1}{1+x^2}=\cos ^2 x+\sec ^2 x$ is

  • [KVPY 2018]
  • A

    $0$

  • B

    $1$

  • C

    $2$

  • D

    infinite

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  • [IIT 1981]

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