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Re: How to simplify certain solutions of trigonometric equation?

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On Monday, March 9, 2015 at 9:37:30 AM UTC-4, Rainer Rosenthal wrote:
> Am 09.03.2015 um 14:09 schrieb acer:
> > It could be that in MapleV evala/Normal might get it when radnormal or simplify(...,radical) fail.
> > That is, something like,
> > 
> >  map(u->evala(Normal(simplify(convert(simplify(f(u)),radical)))),p);
> > 
> Wow, solutions #3 and #6 are verified by a clear "0" now, nice!
> 
> map(u->evala(Normal(simplify(convert(simplify(f(u)),radical)))),p);
> gives the following list:
> 
>   [0,                      # Check solution #1
>    0,                      # Check solution #2
>    0,                      # Check solution #3
>    not so easy,            # Check solution #4
>    not so easy,            # Check solution #5
>    0]                      # Check solution #6
> 
> Many thanks!
> I'd love to find something for the last two checks for #4 and #5.
> 
> For example, check #4 results in this difficult expression:
> 1/2*sqrt(4-2*sqrt(2))-cos(2*arctan(-sqrt(2)+1))+sin(3*arctan(-sqrt(2)+1))-sin(2*arctan(-sqrt(2)+1))+cos(3*arctan(-sqrt(2)+1))
> 
> Cheers,
> Rainer

Another possibility, is to convert to expln. (Again, for those coming late to the party, the problem here is to use MapleV. The earliest I have access to right now is MapleV R5. I'm not sure which Rainer is using.)

Also, it might help to simplify the values of list p before applying f.

  map(z->radnormal(expand(convert(f(simplify(z)),expln))),p);

In my MapleV R5 just this is enough,

  map(z->radnormal(expand(f(simplify(z)))),p);

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How to simplify certain solutions of trigonometric equation? Rainer Rosenthal <r.rosenthal@web.de> - 2015-03-08 20:25 +0100
  Re: How to simplify certain solutions of trigonometric equation? acer <maple@rogers.com> - 2015-03-08 18:48 -0700
    Re: How to simplify certain solutions of trigonometric equation? Rainer Rosenthal <r.rosenthal@web.de> - 2015-03-09 11:05 +0100
      Re: How to simplify certain solutions of trigonometric equation? acer <maple@rogers.com> - 2015-03-09 06:09 -0700
        Re: How to simplify certain solutions of trigonometric equation? Rainer Rosenthal <r.rosenthal@web.de> - 2015-03-09 14:40 +0100
          Re: How to simplify certain solutions of trigonometric equation? acer <maple@rogers.com> - 2015-03-09 07:36 -0700
            Re: How to simplify certain solutions of trigonometric equation? acer <maple@rogers.com> - 2015-03-09 07:48 -0700
            Re: How to simplify certain solutions of trigonometric equation? Rainer Rosenthal <r.rosenthal@web.de> - 2015-03-09 17:56 +0100
              Re: How to simplify certain solutions of trigonometric equation? acer <maple@rogers.com> - 2015-03-09 10:15 -0700
                Re: How to simplify certain solutions of trigonometric equation? Rainer Rosenthal <r.rosenthal@web.de> - 2015-03-10 01:12 +0100

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