सिद्ध करे कि
`cot^(-1)""(xy+1)/(y-x)+cot^(-1)""(yz+1)/(z-y)+cot^(-1)z=tan^(-1)""(1)/(x)`

cot^(-1)""(xy+1)/(x-y)+cot^(-1)""(yz+1)/(y-z) +cot ^(-1) "" (zx +1)/(z-x)=0

cot^(-1)""(xy+1)/(x-y)+cot^(-1)""(yz+1)/(y-z)+cot^(-1)""(zx+1)/(z-x)=

If x>y>z>0, then find the value of cot^(-1)(xy+1)/(x-y)+cot^(-1)(yz+1)/(zy-z)+cot^(-1)(zx+1)/(z-x)

If x > y > z >0, then find the value of cot^(-1)(x y+1)/(x-y)+cot^(-1)(y z+1)/(z y-z)+cot^(-1)(z x+1)/(z-x)

If x > y > z >0, then find the value of cot^(-1)(x y+1)/(x-y)+cot^(-1)(y z+1)/(z y-z)+cot^(-1)(z x+1)/(z-x)

If x > y > z >0, then find the value of cot^(-1)(x y+1)/(x-y)+cot^(-1)(y z+1)/(y-z)+cot^(-1)(z x+1)/(z-x)

If x gt y gt z gt 0 , then find the value of "cot"^(-1) (xy + 1)/(x - y) + cot^(-1).(yz + 1)/(y - z) + cot^(-1).(zx + 1)/(z - x)

If x gt y gt z gt 0 , then find the value of "cot"^(-1) (xy + 1)/(x - y) + "cot"^(-1)(yz + 1)/(y - z) + "cot"^(-1)(zx + 1)/(z - x)

If x > y > z >0, then find the value of cot^(-1)((x y+1)/(x-y))+cot^(-1)((y z+1)/(z y-z))+cot^(-1)((z x+1)/(z-x))

Prove that following cot^(-1)((xy+1)/(x-y)) +cot^(-1)((yz+1)/(y-z))+cot^(-1)((zx+1)/(z-x))=0, (0 lt xy, yz, zx lt 1)