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Re: Hyperbolic function identity

• To: mathgroup at smc.vnet.net
• Subject: [mg50945] Re: [mg50932] Hyperbolic function identity
• From: "Maxim A. Dubinnyi" <maxim at nmr.ru>
• Date: Wed, 29 Sep 2004 03:15:07 -0400 (EDT)
• References: <200409280458.AAA24067@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

This works correctly:

FullSimplify[TrigToExp[ArcCosh[1+(z^2)/2]-2*ArcSinh[z/2]], z > 0]

It looks like that mathematica works better with logarithms and 
exponents then with trigonometric functions.

Carlos Felippa wrote:

>Why 
>
>   FullSimplify[ArcCosh[1+z^2/2]-2*ArcSinh[z/2],z>0];
>
>does not evaluate to 0?
>
>  
>

• References:
  • Hyperbolic function identity
    • From: carlos@colorado.edu (Carlos Felippa)