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tan^(-1)((4)/(7))+tan^(-1)((1)/(7))=tan^...

`tan^(-1)((4)/(7))+tan^(-1)((1)/(7))`=`tan^(-1)((7)/(9))`

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Prove that: tan^(-1)((1)/(5))+tan^(-1)((1)/(7))+tan^(-1)((1)/(3))+tan^(-1)((1)/(8))=(pi)/(4)