Write the principal value of `tan^(-1)sqrt((3))-cot^(-1)sqrt((-3))` .

Explanation

`tan^(-1)sqrt 3+cot^(-1)(-sqrt 3)`

`=tan^(-1)(tan frac{pi}{3})+cot^(-1)(-cotfrac{pi}{6})`

`tan^(-1)(tan frac{pi}{3})+cot^(-1)(-cot (pi- frac{pi}{6}))`

`pi/3+frac{5 pi}{6}=>frac{7 pi}{6}`