MathGroup Archive: January 2009 [00431]

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?1/2

To: mathgroup at smc.vnet.net
Subject: [mg95676] ?1/2
From: dimitris <dimmechan at yahoo.com>
Date: Sat, 24 Jan 2009 06:21:38 -0500 (EST)

I found it in another forum as a simplification chalenge and
considered it quite interesting.

The following expression is equal to 1/2.

In[58]:=
ex1 = ArcCsch[2]/(ArcSinh[2] - ArcCsch[2])/Sin[Pi*(ArcCsch[2]/(ArcSinh
[2] - ArcCsch[2]))];

In[62]:=
N[ex1, 50]

Out[62]=
0.50000000000000000000000000000000000000000000000000

In[61]:=
Developer`ZeroQ[ex1 - 1/2]

Out[61]=
True

Nevertheless, no matter what I tried I was not able to simplify ex1
directly to 1/2.

Any ideas?

Dimitris

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