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

```

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