If tan-1x - tan-1y - tan-1z - - then prove that x - y - z - xyz-

tan^ 1x+tan^ 1y+tan^ 1z=π tan^ 1x+tan^ 1y=π tan^ 1z tan^ 1x+y1 xy=π tan^ 1z x+y1 xy=tan(π tan^ 1z)= z x+y= z+xyz x+y+z=xyz ...

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Sum of n Terms

If tan-1x +...

Question

If ${tan}^{- 1} x + {tan}^{- 1} y + {tan}^{- 1} z = π$ then prove that $x + y + z = x y z$ .

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[Kerala (Engg.) 2002]

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