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Tan[Tan^-1 (1/(a+b))+tan^(- 1)(b/(a^2+a ...

`Tan[Tan^-1 (1/(a+b))+tan^(- 1)(b/(a^2+a b+1))]=`

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tan[tan^(-1)(1/(a+b))+tan^(-1)(b/(a^(2)+ab+1))]=

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tan^(-1)a+tan^(-1)b=(pi)/(2)