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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 :

$ - {\pi \over 4}$
$ - {\pi \over 8}$
$ - {{5\pi } \over {12}}$
$ - {{4\pi } \over 9}$

Solution

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