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Prove that 2tan^(-1)(1/2)+tan^(-1)(1/7)=...

Prove that `2tan^(-1)(1/2)+tan^(-1)(1/7)=sin^(-1)((31)/(25sqrt(2)))`

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`L.H.S. = 2tan^-1(1/2)+tan^-1(1/7)`
`=tan^-1((2*1/2)/(1-(1/2)^2))+tan^-1(1/7)`
`=tan^-1((1)/(3/4))+tan^-1(1/7)`
`=tan^-1(4/3)+tan^-1(1/7)`
`=tan^-1((4/3+1/7)/(1-(4/3)(1/7)))`
`=tan^-1((31/21)/(17/21))`
`=tan^-1(31/17)`
Let `tan^-1(31/17) = theta`
...
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