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MathGroup Archive 2007

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Re: Solving periodic functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg74959] Re: Solving periodic functions
  • From: dh <dh at metrohm.ch>
  • Date: Fri, 13 Apr 2007 01:56:04 -0400 (EDT)
  • References: <evkroh$o0k$1@smc.vnet.net>


Hi David,

your example is trivial: 6Cos[x]-5Cos[x]== Cos[x]==0.

However, you probably meant to write something more sophisticated, like 

e.g. Sin[x]-Cos[x]==0. These are transcendental functions and are by no 

means elementary. Especially if you want all the solutions. You can try 

e.g. Reduce:

Reduce[{ Sin[x]==Cos[x]},x]

Daniel





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 

> 

> 

> 




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