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?
>