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Math Forum » Discussions » Software » comp.soft-sys.math.mathematica

Topic: Simplification question
Replies: 10   Last Post: Jun 17, 2010 2:05 AM

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Daniel Huber

Posts: 7
Registered: 6/16/10
Re: Simplification question
Posted: Jun 16, 2010 5:37 AM
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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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