If \( \tan ^{-1} x=\frac{\pi}{6}, x \in R \), then find the value o...

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If \( \tan ^{-1} x=\frac{\pi}{6}, x \in R \), then find the value of \( \cot ^{-1} x \).
\( \mathrm{P} \)
(1) \( \frac{\pi}{2} \)
(2) \( \frac{\pi}{6} \)
(3) \( \frac{\pi}{3} \)
(4) \( \frac{2 \pi}{3} \)
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