Re: The formula of Abraham Moivre
- To: mathgroup at smc.vnet.net
- Subject: [mg106849] Re: [mg106792] The formula of Abraham Moivre
- From: "David Park" <djmpark at comcast.net>
- Date: Sun, 24 Jan 2010 05:47:07 -0500 (EST)
- References: <4167406.1264250638568.JavaMail.root@n11>
Doing it in steps: (Cos[x] + I*Sin[x])^n; % // TrigToExp Simplify[%, n \[Element] Integers] % // ExpToTrig (1/2 (-E^(-I x) + E^(I x)) + 1/2 (E^(-I x) + E^(I x)))^n E^(I n x) Cos[n x] + I Sin[n x] David Park djmpark at comcast.net http://home.comcast.net/~djmpark/ From: Arnold [mailto:sender999ster at gmail.com] How by means of Mathematica to transform (Cos [x] +I* Sin [x]) ^n in Cos [n*x] +I*Sin [n*x]? Thanks.