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

Prove that: `2tan^(-1)1/2+tan^(-1)1/7=tan^(-1)(31)/(17)`

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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)(4/3)+tan^(-1)(1/7)`
=`tan^(−1)((4/3+1/7)/(1-(4/3)(1/7)))`
=`tan^(-1)(31/17)`
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