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JEE Math Practice Question

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

  1. A.$$ - {{11\pi } \over {30}}$$
  2. B.$${\pi \over {10}}$$
  3. C.$$ - {{7\pi } \over {30}}$$
  4. D.$$ - {\pi \over {15}}$$

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