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Re: The formula of Abraham Moivre

• To: mathgroup at smc.vnet.net
• Subject: [mg106804] Re: [mg106792] The formula of Abraham Moivre
• From: Patrick Scheibe <pscheibe at trm.uni-leipzig.de>
• Date: Sun, 24 Jan 2010 05:38:25 -0500 (EST)
• References: <201001231236.HAA16448@smc.vnet.net>

Hi,

what about

ExpToTrig@
 Simplify[TrigToExp[(Cos[x] + I*Sin[x])^n], n \[Element] Integers]

?

Cheers
Patrick

On Sat, 2010-01-23 at 07:36 -0500, Arnold wrote:
> How by means of Mathematica to transform (Cos [x] +I* Sin [x]) ^n in Cos [n*x] +I*Sin [n*x]?
> 
> Thanks.
> 

• References:
  • The formula of Abraham Moivre
    • From: Arnold <sender999ster@gmail.com>