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Re: Re: Good idea to use ArcTan[x,y] in Solve[], Integrate[] etc?

• To: mathgroup at smc.vnet.net
• Subject: [mg37366] Re: [mg37336] Re: Good idea to use ArcTan[x,y] in Solve[], Integrate[] etc?
• From: David Terr <dterr at wolfram.com>
• Date: Fri, 25 Oct 2002 02:47:11 -0400 (EDT)
• Organization: WRI
• References: <ap5b24$3v9$1@smc.vnet.net> <200210240655.CAA05054@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Jens-Peer Kuska wrote:

> Hi,
>
> a potential division by 0 in ArcTan[y/x] ?
>
> Regards
>   Jens
>
> Frank Iannarilli wrote:
> >
> > Hi,
> >
> > Is there any wisdom on whether one should employ or avoid the
> > 2-argument form of ArcTan[], versus ArcTan[y/x], in expressions
> > involving Solve[] and Integrate[]?
> >
> > Is there any harm?  Is there any benefit?
> >
> > Thanks!

The 2-argument form provides a bit more information since it takes the
signs of x and y into account and allows x to be zero. I imagine this
could be helpful when used with Solve, but I don't know about Integrate.

David

• References:
  • Re: Good idea to use ArcTan[x,y] in Solve[], Integrate[] etc?
    • From: Jens-Peer Kuska <kuska@informatik.uni-leipzig.de>