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?
>