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Re: Simplification question

  • To: mathgroup at smc.vnet.net
  • Subject: [mg110381] Re: Simplification question
  • From: Daniel Huber <danielphuber at gmail.com>
  • Date: Wed, 16 Jun 2010 05:37:29 -0400 (EDT)
  • References: <hv76mt$k6e$1@smc.vnet.net>

Hi,
sometimes mathematica needds just a little help from a friend...
Assuming[Element[{a, b,}, Reals],
  1/2 Log[(Exp[a + b] + Exp[-a - b])/(Exp[-a + b] + Exp[a - b])] ==
     ArcTanh[Tanh[a] Tanh[b]] // TrigToExp // Simplify]

cheers, Daniel

Am 15.06.2010 08:30, schrieb Yaroslav Bulatov:
> 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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