The value of tan^-1x+ tan^-1y for xy>1,x,y>0 is

\(\tan^{-1}\left(\frac{x-y}{1+xy}\right)\)

\(\pi+\tan^{-1}\left(\frac{x+y}{1-xy}\right)\)

\(\pi+\tan^{-1}\left(\frac{x-y}{1+xy}\right)\\)

\(\pi+\tan^{-1}\left(\frac{x+y}{1+xy}\right)\)