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Given that : (a1 + ib1) (a2 + ib2) ... (...

Given that : `(a_1 + ib_1) (a_2 + ib_2) ... (a_n + ib_n) = c + id`, show that : `tan^-1 (b_1/a_1)+tan^-1 (b_2/a_2)+.............+ tan^-1 (b_n/a_n)= n pi+ tan^-1 (d/c)`.

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