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Re: Another damn simplifying problem: ArcTan

  • To: mathgroup at smc.vnet.net
  • Subject: [mg59935] Re: Another damn simplifying problem: ArcTan
  • From: snoofly <snoofly at snoofly.com>
  • Date: Fri, 26 Aug 2005 04:53:25 -0400 (EDT)
  • References: <dek7hq$a2t$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Mathieu McPhie wrote:
> Can someone please explain this to me: (M v4.something)
> 
> In:=  Simplify[ArcTan[-x]+ArcTan[x]]
> Out= 0
> 
> In:=  Simplify[ArcTan[-x,1]+ArcTan[x,1]]
> Out= ArcTan[-x,1]+ArcTan[x,1]
> 
> Note, I want something more complicated than this obviously. Actually 
> want something like
> 
> Simplify[ArcTan[-x,y]+ArcTan[x,y]]
> 
> but above is the easiest example of this infuriating programs problem.
> 
> Cheers, Mathieu
> 
The doc for ArcTan[x,y] mentions the quadrant is taken into account.
Use x=1,y=2 to see the reasoning why it doesn't simplify to 0.


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