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The value of tan^-1(1/3)+tan^-1(2/9)+tan...

The value of `tan^-1(1/3)+tan^-1(2/9)+tan^-1(4/33)+tan^-1(8/129)+....n` terms is:

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Show that 2 tan^-1(1/4) + 2 tan^-1 (2/9) = tan^-1(4/3) .

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tan^(- 1)(1/4)+tan^(- 1)(2/9)=1/2tan^(- 1)(4/3)