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