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

Prove that: `tan^(-1)(1/7)+tan^(-1)(1/(13))=tan^(-1)(2/9)` `tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4` `tan^(-1)(3/4)+tan^(-1)(3/5)-tan^(-1)(8/19)=pi/4`

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