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RE: TrigToExp of ArcTan function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg38567] RE: TrigToExp of ArcTan function
  • From: Jan Mangaldan <hokenjan at yahoo.com>
  • Date: Fri, 27 Dec 2002 02:14:59 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

I don't know either, but this snippet gives something that's close:

In[1]:= FullSimplify[
  ComplexExpand[Cos[ArcTan[x, y]] + I Sin[ArcTan[x, y]], 
    TargetFunctions -> {Abs, Arg}]]

Out[1]:= \!\(\[ExponentialE]\^\(\[ImaginaryI]\ Arg[x + \[ImaginaryI]\ y]\)\)

(* this is Exp[I*Arg[x+I y]] *)

In[2]:= % /. Arg[x_ + I y_] -> ArcTan[x, y]

Out[2]:= \!\(\[ExponentialE]\^\(\[ImaginaryI]\ ArcTan[x, y]\)\)

(* this is Exp[I*ArcTan[x, y]] *)

Hope this helps...

                                                                                                        Jan M. (^_^)

 


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