The value of \( \cot ^{-1}(-\sqrt{3})+\cos ^{-1}\left(\frac{-1}{\sq...

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The value of \( \cot ^{-1}(-\sqrt{3})+\cos ^{-1}\left(\frac{-1}{\sqrt{2}}\right)+\operatorname{cosec}^{-1}(1) \) is equal to
\( \mathrm{P} \)
(1) \( \frac{25 \pi}{12} \)
(2) \( \frac{\pi}{12} \)
(3) \( \frac{3 \pi}{12} \)
(4) \( \frac{\pi}{4} \)
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