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Groups > comp.soft-sys.math.maple > #1183
| From | Axel Vogt <&noreply@axelvogt.de> |
|---|---|
| Newsgroups | comp.soft-sys.math.maple, sci.math.symbolic |
| Subject | Re: Simplify trigonometric expressions |
| Date | 2015-08-14 23:45 +0200 |
| Message-ID | <d375seF7ivpU1@mid.individual.net> (permalink) |
| References | <f14c65d6-4b6e-46ca-bbc9-940bb0fb3127@googlegroups.com> <d36annFljmU1@mid.individual.net> <ae0050b5-53a8-4965-9c1d-4ed536935efd@googlegroups.com> |
Cross-posted to 2 groups.
On 14.08.2015 18:45, Peter Luschny wrote:
> On Friday, August 14, 2015 at 4:02:34 PM UTC+2, Axel Vogt wrote:
>> On 14.08.2015 15:00, Peter Luschny wrote:
>>> How can I teach Maple to simplify these expressions?
>>> I thought this would be peanuts for Maple
>>> (especially as it is peanuts for the competitor).
>>>
>> ...
>>
>> Depends on what one wants do have ... If L denotes
>> the list of your equations then for example
>>
>> convert(L, radical):
>> simplify(%);
>
> OK. So what about these?
>
> [1] -1/7+x-(2/7)*cos((2/7)*Pi)+(2/7)*cos((3/7)*Pi)+(2/7)*cos((1/7)*Pi)
>
> [2] (4/7)*x*cos((1/7)*Pi)-(2/7)*cos((1/7)*Pi)-(4/7)*x*cos((2/7)*Pi)+(2/7)*cos((2/7)*Pi)+(4/7)*x*cos((3/7)*Pi)-(2/7)*cos((3/7)*Pi)+1/7-(2/7)*x+x^2
>
> [3] (2/7)*cos((1/7)*Pi)+(6/7)*x^2*cos((1/7)*Pi)-(6/7)*x*cos((1/7)*Pi)-(2/7)*cos((2/7)*Pi)-(6/7)*cos((2/7)*Pi)*x^2+(6/7)*x*cos((2/7)*Pi)+(2/7)*cos((3/7)*Pi)+(6/7)*x^2*cos((3/7)*Pi)-(6/7)*x*cos((3/7)*Pi)-1/7+(3/7)*x-(3/7)*x^2+x^3
>
> [4] -(2/7)*cos((1/7)*Pi)-(12/7)*x^2*cos((1/7)*Pi)+(8/7)*x*cos((1/7)*Pi)+(8/7)*x^3*cos((1/7)*Pi)-(8/7)*cos((2/7)*Pi)*x^3+(2/7)*cos((2/7)*Pi)+(12/7)*cos((2/7)*Pi)*x^2-(8/7)*x*cos((2/7)*Pi)-(2/7)*cos((3/7)*Pi)-(12/7)*x^2*cos((3/7)*Pi)+(8/7)*x*cos((3/7)*Pi)+(8/7)*x^3*cos((3/7)*Pi)+1/7-(4/7)*x+(6/7)*x^2-(4/7)*x^3+x^4
>
evalf[20](L): fnormal(%): identify(%); # to have a guess
2 3 4
[x, x , x , x ]
convert(L, RootOf): # nun aber in echt ...
simplify(%);
2 3 4
[x, x , x , x ]
I think it is also "what is intended by simplify (and should trig
survive)?" Thus I included sci.math.symbolic for further answers.
PS: would you mind to post as list
PPS: well, it may break down at some degree
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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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