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De Moivre's formula is actually true for all complex numbers x and all real numbers n, but this requires careful extension of several functions to the complex plane. <-- Loisel I'm not so sure this makes any sense.
Thanks for pointing that out; n has to be an integer. x can be complex however, since Euler's formula
- e^(ix) = cos(x) + i sin(x)
works for all complex x. --AxelBoldt