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Re: The formula of Abraham Moivre

• To: mathgroup at smc.vnet.net
• Subject: [mg106808] Re: The formula of Abraham Moivre
• From: "Sjoerd C. de Vries" <sjoerd.c.devries at gmail.com>
• Date: Sun, 24 Jan 2010 05:39:10 -0500 (EST)
• References: <hjeqep$g0p$1@smc.vnet.net>

Hi Arnold,

ExpToTrig[PowerExpand[FullSimplify[(Cos[x] + I*Sin[x])^n]]]

but this is actually only true for n integer OR x positive reals.

Cheers -- Sjoed

On Jan 23, 2:35 pm, Arnold <sender999s... at gmail.com> wrote:
> How by means of Mathematica to transform (Cos [x] +I* Sin [x]) ^n in Cos[n*x] +I*Sin [n*x]?
>
> Thanks.

• Follow-Ups:
  • Re: Re: The formula of Abraham Moivre
    • From: Andrzej Kozlowski <akozlowski@gmail.com>