The sum of solutions of the equation $\frac{\cos \mathrm{x}}{1+\sin \mathrm{x}}=|\tan 2 \mathrm{x}|, \mathrm{x} \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)-\left\{\frac{\pi}{4},-\frac{\pi}{4}\right\}$ is :

  • [JEE MAIN 2021]
  • A

    $-\frac{11 \pi}{30}$

  • B

    $\frac{\pi}{10}$

  • C

    $-\frac{7 \pi}{30}$

  • D

    $-\frac{\pi}{15}$

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  • [KVPY 2011]

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