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Re: Hyperbolic function identity

• To: mathgroup at smc.vnet.net
• Subject: [mg50950] Re: Hyperbolic function identity
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Wed, 29 Sep 2004 03:15:16 -0400 (EDT)
• Organization: Universitaet Leipzig
• References: <cjasqk$ns0$1@smc.vnet.net>
• Reply-to: kuska at informatik.uni-leipzig.de
• Sender: owner-wri-mathgroup at wolfram.com

Hi,

ArcCosh[1 + z^2/2] - 2*ArcSinh[z/2] // TrigToExp // 
  FullSimplify[#, Element[z, Reals] && z > 0] &

??

Regards
  Jens

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