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Groups > comp.soft-sys.math.maple > #1182

Re: Simplify trigonometric expressions

Newsgroups comp.soft-sys.math.maple
Date 2015-08-14 12:39 -0700
References <f14c65d6-4b6e-46ca-bbc9-940bb0fb3127@googlegroups.com> <d36annFljmU1@mid.individual.net> <ae0050b5-53a8-4965-9c1d-4ed536935efd@googlegroups.com>
Message-ID <22dd29bd-e034-4036-80cc-409c6a8f89a3@googlegroups.com> (permalink)
Subject Re: Simplify trigonometric expressions
From Peter Luschny <peter.luschny@gmail.com>

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> > convert(L, radical):
> > simplify(%);
> OK. So what about these?

Be warned, if you can solve this case (n=7) I will send in 
the next case (n=9) and Maple will never return form it.

So we see a pattern: n=3 works with simplify, n=5 only with 
your special radical method, n=7 fails even with the radical 
method and n=9 is ending in nirvana.

So there clearly is some insufficient implementation of these
simplifications.

Are these cases too complex? Or to specialized?

Unfortunately the answer is no. We are talking about 
simplifications of sum of roots of unity (which your solution 
shows). Something I expect a good CAS can handle.

Hi Maple developers, please take note. You mastered the
even cases, now go for the odd cases also.

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Thread

Simplify trigonometric expressions Peter Luschny <peter.luschny@gmail.com> - 2015-08-14 06:00 -0700
  Re: Simplify trigonometric expressions Axel Vogt <&noreply@axelvogt.de> - 2015-08-14 16:02 +0200
    Re: Simplify trigonometric expressions Peter Luschny <peter.luschny@gmail.com> - 2015-08-14 09:37 -0700
    Re: Simplify trigonometric expressions Peter Luschny <peter.luschny@gmail.com> - 2015-08-14 09:45 -0700
      Re: Simplify trigonometric expressions Peter Luschny <peter.luschny@gmail.com> - 2015-08-14 12:39 -0700
      Re: Simplify trigonometric expressions Axel Vogt <&noreply@axelvogt.de> - 2015-08-14 23:45 +0200
        Re: Simplify trigonometric expressions Peter Luschny <peter.luschny@gmail.com> - 2015-08-15 01:43 -0700
        Re: Simplify trigonometric expressions clicliclic@freenet.de - 2015-08-19 14:59 +0200
          Re: Simplify trigonometric expressions Peter Luschny <peter.luschny@gmail.com> - 2015-08-19 11:19 -0700
            Re: Simplify trigonometric expressions Axel Vogt <&noreply@axelvogt.de> - 2015-08-19 22:08 +0200
              Re: Simplify trigonometric expressions Peter Luschny <peter.luschny@gmail.com> - 2015-08-20 06:14 -0700
              Re: Simplify trigonometric expressions clicliclic@freenet.de - 2015-08-22 13:55 +0200

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