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Re: Another damn simplifying problem: ArcTan

  • To: mathgroup at smc.vnet.net
  • Subject: [mg59937] Re: Another damn simplifying problem: ArcTan
  • From: "Carl K. Woll" <carlw at u.washington.edu>
  • Date: Fri, 26 Aug 2005 04:53:26 -0400 (EDT)
  • Organization: University of Washington
  • References: <dek7hq$a2t$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

"Mathieu McPhie" <m.mcphie at fz-juelich.de> wrote in message 
news:dek7hq$a2t$1 at smc.vnet.net...
> 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]
>

Unfortunately the above isn't zero, even for real x:

In[6]:=
ArcTan[-.1,1]+ArcTan[.1,1]
Out[6]=
3.14159

> 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
>

Carl Woll
Wolfram Research 



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