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