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MathGroup Archive 2006

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Re: Trigonometric form of complex numbers

  • To: mathgroup at smc.vnet.net
  • Subject: [mg64196] Re: [mg64158] Trigonometric form of complex numbers
  • From: Pratik Desai <pdesai1 at umbc.edu>
  • Date: Sun, 5 Feb 2006 04:44:50 -0500 (EST)
  • References: <200602030009.TAA10215@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

ivan.svaljek at gmail.com wrote:

>Is there a way to force mathematica to output complex numbers in
>trigonometric form (I guess you call it Phasor).
>Can it return all 3 roots of a complex number in such a form ?
>
>Thanks.
>
>  
>
Perhaps something like this (using Phasors)
Clear[z,PolarForm]
PolarForm[u_] := 
Module[{z=u,mod,arg},ToString[Abs[z]]<>"�"<>ToString[ArcTan[Re[z],Im[z]]]<>"°"]
ls = x /. Solve[x^3 == I, x]//N;
PolarForm /@ ls


Out[88]=
{1.�-1.5708°,1.�0.523599°,1.�2.61799°}

Out[89]=
{0.\[InvisibleSpace]-1. \[ImaginaryI],0.866025\[InvisibleSpace]+0.5 \
\[ImaginaryI],-0.866025+0.5 \[ImaginaryI]}

I hacked some code from Andrzej :-)

Hope this helps

Pratik


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