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Re: The formula of Abraham Moivre

  • To: mathgroup at smc.vnet.net
  • Subject: [mg106843] Re: [mg106792] The formula of Abraham Moivre
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Sun, 24 Jan 2010 05:45:59 -0500 (EST)
  • Reply-to: hanlonr at cox.net

expr = (Cos[x] + I*Sin[x])^n;

expr // FullSimplify // PowerExpand // ExpToTrig

Cos[n*x] + I*Sin[n*x]

FullSimplify[expr, Element[n, Integers]] // ExpToTrig

Cos[n*x] + I*Sin[n*x]


Bob Hanlon

---- Arnold <sender999ster 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.




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