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Re: The formula of Abraham Moivre

  • To: mathgroup at smc.vnet.net
  • Subject: [mg106818] Re: The formula of Abraham Moivre
  • From: DC <b.gatessucks at gmail.com>
  • Date: Sun, 24 Jan 2010 05:41:03 -0500 (EST)
  • References: <hjeqep$g0p$1@smc.vnet.net>

In[4]:= FullSimplify[Cos[x] + I Sin[x]]

Out[4]= E^(I x)

In[7]:= FullSimplify[(Cos[x] + I Sin[x])^n,
  Assumptions -> {n \[Element] Integers}]

Out[7]= E^(I n x)

-Francesco

On 01/23/2010 12:35 PM, Arnold wrote:
> How by means of Mathematica to transform (Cos [x] +I* Sin [x]) ^n in Cos [n*x] +I*Sin [n*x]?
>
> Thanks.
>


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