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Re: symbolic solution (ArcTan)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg33293] Re: [mg33289] symbolic solution (ArcTan)
  • From: Fernando Rinaldi <fernando.rinaldi at e-technik.uni-ulm.de>
  • Date: Thu, 14 Mar 2002 02:21:54 -0500 (EST)
  • References: <200203130815.DAA04176@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Paul wrote:

> Is it possible to find an exact symbolic solution for x in ( x ==
> ArcTan[5 - Pi + x] )?
>
> I know that ( FindRoot[x == ArcTan[5 - Pi + x], {x, 1}] ) yields a
> numeric solution ~= 1.2605, but again, I'd like to find an exact
> symbolic solution if possible.
>
> Paul

Your problem can be reduced to the following equation: Tan[x]==x, and
there are no analytical solutions for that....I tell you for sure
because this is an equation that occurs in quantum mechanics problems
and is very well studied....

use numeric..

bye




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