Write the principal value of $\tan ^{-1} \sqrt{3}+\cot ^{-1} \sqrt{3}$
We know $\tan ^{-1} x+\cot ^{-1} x=\frac{\pi}{2}$
$\therefore \tan ^{-1} \sqrt{3}+\cot ^{-1} \sqrt{3}=\frac{\pi}{2}$
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