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MathGroup Archive 2007

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Re: How can I find roots in Mathematica 6?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg83585] Re: [mg83517] How can I find roots in Mathematica 6?
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Fri, 23 Nov 2007 05:39:44 -0500 (EST)
  • Reply-to: hanlonr at cox.net

soln = Reduce[{Cosh[z]  ==  I,  Abs[Im[z]]  < 10},  z]

z == -2*I*Pi - ArcCosh[I] || 
   z == 2*I*Pi - ArcCosh[I] || 
   z == -ArcCosh[I] || 
   z == ArcCosh[I] || 
   z == -2*I*Pi + ArcCosh[I] || 
   z == 2*I*Pi + ArcCosh[I]

soln // N

z == -0.8813735870195429 - 
       7.853981633974483*I || 
   z == -0.8813735870195429 + 
       4.71238898038469*I || 
   z == -0.8813735870195429 - 
       1.5707963267948966*I || 
   z == 0.8813735870195429 + 
       1.5707963267948966*I || 
   z == 0.8813735870195429 - 
       4.71238898038469*I || 
   z == 0.8813735870195429 + 
       7.853981633974483*I

Cosh[Last /@ List @@ soln]

{I, I, I, I, I, I}


Bob Hanlon

---- DrunkenButterfly <darkladymacbeth at hotmail.com> wrote: 
> Does anyone know what should I type in in order to find the roots of 
> 
> cosh(z)=i with Abs[Im[z]]<10    ?
> 
> I've just started using Mathematica 6 and the help browser is not really helping me at all. Thanks!
> 



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