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Re: FullSimplify failure

  • To: mathgroup at smc.vnet.net
  • Subject: [mg38479] Re: [mg38476] FullSimplify failure
  • From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
  • Date: Fri, 20 Dec 2002 04:24:18 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

In this particular case, yes.

In[14]:=
FullSimplify[TrigToExp[ArcSin[(Sqrt[2] + Sqrt[6])/4]]]

Out[14]=
(5*Pi)/12

In[15]:=
FullSimplify[TrigToExp[ArcCos[(Sqrt[3] - 1)/(2*Sqrt[2])]]]

Out[15]=
(5*Pi)/12

Of course this is not guaranteed to work in much more complicated cases.

Andrzej Kozlowski
Yokohama, Japan
http://www.mimuw.edu.pl/~akoz/
http://platon.c.u-tokyo.ac.jp/andrzej/



On Wednesday, December 18, 2002, at 03:54 PM, Carlos Felippa wrote:

> Print[ FullSimplify[ArcCos[(Sqrt[3]-1)/(2*Sqrt[2])]]//InputForm];
> Print[ FullSimplify[ArcSin[(Sqrt[2]+Sqrt[6])/4]]//InputForm];
>
> (5*Pi)/12
>
> ArcSin[(Sqrt[2] + Sqrt[6])/4]
>
>
> Both answers should be 5*Pi/12.  This is fouling up a script.
> Is there a way to get FullSimplify to do exactly that for
> the ArcSin?
>
> Carlos Felippa
>
>
>



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