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RE: FullSimplify failure

  • To: mathgroup at smc.vnet.net
  • Subject: [mg38481] RE: [mg38476] FullSimplify failure
  • From: F.H.Simons at tue.nl
  • Date: Fri, 20 Dec 2002 04:24:22 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Simplify and FullSimplify are just boxes with tricks that in some cases
might work to simplify an expression. No matter how large the box of tricks
is, there will always exist examples that Simplify and FullSimplify cannot
do. So I am always surprised when Simplify or FullSimplify does work.

In your case you can do the following:

ArcSin[(Sqrt[2] + Sqrt[6])/4]  // TrigToExp // FullSimplify

Regards,

Fred Simons
Eindhoven University of Technology

> -----Original Message-----
> From: carlos at colorado.edu [mailto:carlos at colorado.edu]
To: mathgroup at smc.vnet.net
> Sent: woensdag 18 december 2002 7:55
> To: mathgroup at smc.vnet.net
> Subject: [mg38481] [mg38476] FullSimplify failure
> 
> 
> 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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