The number of solutions to $\sin \left(\pi \sin ^2 \theta\right)+\sin \left(\pi \cos ^2 \theta\right)=2 \cos \left(\frac{\pi}{2} \cos \theta\right)$ satisfying $0 \leq \theta \leq 2 \pi$ is

  • [KVPY 2019]
  • A

    $1$

  • B

    $2$

  • C

    $4$

  • D

    $7$

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