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JEE Math Practice Question

$${\tan ^{ - 1}}\left( {{{1 + \sqrt 3 } \over {3 + \sqrt 3 }}} \right) + {\sec ^{ - 1}}\left( {\sqrt {{{8 + 4\sqrt 3 } \over {6 + 3\sqrt 3 }}} } \right)$$ is equal to :

  1. A.$${\pi \over 2}$$
  2. B.$${\pi \over 3}$$
  3. C.$${\pi \over 6}$$
  4. D.$${\pi \over 4}$$

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