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Re: Simplification question

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  • Subject: [mg110398] Re: Simplification question
  • From: Simon <simonjtyler at>
  • Date: Wed, 16 Jun 2010 05:40:45 -0400 (EDT)
  • References: <hv76mt$k6e$>

It might be that Mathematica is having troubles because of the branch
cuts in the inverse functions.
If you take Tanh of both sides, then it becomes easier...

On Jun 15, 4:30 pm, Yaroslav Bulatov <yarosla... at> 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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