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JEE Math Practice Question

The value of $${\tan ^{ - 1}}\left( {{{\cos \left( {{{15\pi } \over 4}} \right) - 1} \over {\sin \left( {{\pi \over 4}} \right)}}} \right)$$ is equal to :

  1. A.$$ - {\pi \over 4}$$
  2. B.$$ - {\pi \over 8}$$
  3. C.$$ - {{5\pi } \over {12}}$$
  4. D.$$ - {{4\pi } \over 9}$$

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