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. (^_^)