Re: Solving periodic functions

*To*: mathgroup at smc.vnet.net*Subject*: [mg74966] Re: Solving periodic functions*From*: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>*Date*: Fri, 13 Apr 2007 01:59:44 -0400 (EDT)*Organization*: The Open University, Milton Keynes, UK*References*: <evkroh$o0k$1@smc.vnet.net>

David Rees wrote: > This is probably totally elementary, but I'm stumped nonetheless. > > Anyway, in Mathematica, how do I solve an equation with multiple periodic > functions within a given function domain bound? > > i.e. How would I find all values of x given 6Cos[x]-5Cos[x] = 0 where > 0<x<=2Pi ? > > thanks Hi David, The built-in function *Reduce* [1] is your friend. For instance, Reduce[6 Cos[x] - 5 Cos[x] == 0 && 0 < x <= 2 Pi, x] Pi 3 Pi x == -- || x == ---- 2 2 Regards, Jean-Marc [1] http://documents.wolfram.com/mathematica/functions/Reduce