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Re: Simplification question

  • To: mathgroup at smc.vnet.net
  • Subject: [mg110392] Re: Simplification question
  • From: Patrick Scheibe <pscheibe at trm.uni-leipzig.de>
  • Date: Wed, 16 Jun 2010 05:39:36 -0400 (EDT)

Hi,

and

Simplify[TrigToExp[
  1/2 Log[(Exp[a + b] + Exp[-a - b])/(Exp[-a + b] + Exp[a - b])] == 
   ArcTanh[Tanh[a] Tanh[b]]], Element[{a, b}, Reals]]

doesn't help?

Cheers
Patrick

On Tue, 2010-06-15 at 02:30 -0400, Yaroslav Bulatov wrote:
> I'd like to verify that the following expression is true for a,b real.
> It seems to hold numerically.
> 
> 1/2 Log[(Exp[a + b] + Exp[-a - b])/(Exp[-a + b] + Exp[a - b])] ==
> ArcTanh[Tanh[a] Tanh[b]]
> 
> I tried Reduce and combinations of TrigToExp/Simplify with no luck,
> any suggestions?
> 



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