सिद्ध कीजिए कि `tan^(-1)""(yz)/(xr)+tan^(-1)""(zx)/(yr)+tan^(-1)""(xy)/(zr)=(pi)/(2)` जहाँ `x^(2)+y^(2)+z^(2)=r^(2)`

If tan ^(-1 )""(yz )/( xr ) + tan ^(-1 )""(zx)/(yr) + tan ^(-1) ""(xy)/(zr) =(pi)/(2) , prove that , x^(2) + y^(2) + z^(2) = r^(2)

If tan ^(-1 )""(yz )/( xr ) + tan ^(-1 )""(zx)/(yr) + tan ^(-1) ""(xy)/(zr) =(pi)/(2) , prove that , x^(2) + y^(2) + z^(2) + r^(2)

If tan^(-1) [(yz)/(xr)] + tan^(-1) [(zx)/(yr)]+ tan^(-1) [(xy)/(zr)] = pi /2 prove that, x^2 + y^2 + z^2 = r^2 .

Prove the followings : If tan^(-1)((yz)/(xr))+tan^(-1)((zx)/(yr))+tan^(-1)((xy)/(zr))=pi/2 then x^(2)+y^(2)+z^(2)=r^(2) .

If tan^-1((yz)/(xr)) + tan^-1((zx)/(yr)) + tan^-1((xy)/(zr)) = pi/2 , prove that x^2 + y^2 + z^2 = r^2

सिद्ध कीजिए कि 2tan^(-1)sqrt((b)/(a))=cos^(-1)((a-b)/(a+b))

tan^(-1)""(x-y)/(1+xy)+tan^(-1)""(y-z)/(1+yz)+tan^(-1)""(z-x)/(1+zx) =tan^(-1)""(x^(2)-y^(2))/(1+x^(2)y^(2))+tan^(-1)""(y^(2)-z^(2))/(1+y^(2)z^(2))+tan^(-1) ""(z^(2)-x^(2))/(1+z^(2)x^(2))

If r^2 =x^2 +y^2+z^2, "Prove that" "tan"^(-1) (yz)/(xr) ="tan"^(-1) (zx)/(yr) +"tan"^(-1) (xy)/(zr) =pi/2

If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi , then 1/(xy)+1/(yz)+1/(zx)=