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Re: Solving periodic functions

• To: mathgroup at smc.vnet.net
• Subject: [mg74999] Re: Solving periodic functions
• From: Bill Rowe <readnewsciv at sbcglobal.net>
• Date: Fri, 13 Apr 2007 02:16:47 -0400 (EDT)

On 4/12/07 at 4:46 AM, w3bdevilREMOVE at THISw3bdevil.com (David Rees)
wrote:

>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 ?

A very convenient way to accomplish this is with the RootSearch
package Ted Ersek wrote that can be found at

<http://library.wolfram.com/infocenter/MathSource/4482/>

=46or example after loading the package

In[2]:=
RootSearch[6*Cos[x] - 5*Sin[x] == 0, {x, 0, 2*Pi}]

Out[2]=
{{x->0.876058},{x->4.01765}}
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