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.