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Question

If $\tan 15^\circ + {1 \over {\tan 75^\circ }} + {1 \over {\tan 105^\circ }} + \tan 195^\circ = 2a$, then the value of $\left( {a + {1 \over a}} \right)$ is :

$5 - {3 \over 2}\sqrt 3 $
$4 - 2\sqrt 3 $
2
4

Solution

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