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complex number based inverse trigonometric function

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Find all values of: tan^(-1) * (1 + i)

The format for the final answer should be similar to this one:
if the problem is tan^(-1) * (2i). answer: (n + 1/2)*pi + (i/2) * ln(3) , (n =0, +-1, +-2,...)

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The solution provides detailed explanation how to simplify the complex number based inverse trigonometric function.

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