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Prove that tan^-1(1/7)+tan^-1(1/13)=tan^...

Prove that `tan^-1(1/7)+tan^-1(1/13)=tan^-1(2/9)`

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Given as `tan ^{-1}(1 / 7)+tan ^{-1}(1 / 13)=tan ^{-1}(2 / 9)`
L.H.S.
`tan ^{-1}(1 / 7)+tan ^{-1}(1 / 13)` by, formula
`=tan ^{-1}(frac{frac{1}{7}+frac{1}{13}}{1-frac{1}{7} times frac{1}{13}}) `
`=tan ^{-1}(frac{frac{13+7}{91-1}}{91}) `
`=tan ^{-1}(20 / 90) `
`=tan ^{-1}(2 / 9)=` R.H.S
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