#19738: inconsistency in what simplify() does on trigonometrics expression
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       Reporter:  thome                          |        Owner:
           Type:  defect                         |       Status:  new
       Priority:  minor                          |    Milestone:  sage-7.0
      Component:  symbolics                      |   Resolution:
       Keywords:                                 |    Merged in:
        Authors:                                 |    Reviewers:
Report Upstream:  Fixed upstream, in a later     |  Work issues:
  stable release.                                |       Commit:
         Branch:                                 |     Stopgaps:
   Dependencies:                                 |
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Description changed by rws:

Old description:

> I stumbled on the following oddity during an exercise class (sage-6.8,
> x86_64-linux, debian 8.2).
> {{{
> sage: simplify(cos(pi/12))
> 1/12*sqrt(6)*(sqrt(3) + 3)
> sage: simplify(sin(pi/12))
> -1/12*sqrt(6)*(sqrt(3) - 3)
> sage: simplify(exp(i*pi/12))
> e^(1/12*I*pi)
> }}}
> Is there any rationale for this ? It looks like an inconsistency.
>
> See https://github.com/pynac/pynac/issues/113

New description:

 I stumbled on the following oddity during an exercise class (sage-6.8,
 x86_64-linux, debian 8.2).
 {{{
 sage: simplify(cos(pi/12))
 1/12*sqrt(6)*(sqrt(3) + 3)
 sage: simplify(sin(pi/12))
 -1/12*sqrt(6)*(sqrt(3) - 3)
 sage: simplify(exp(i*pi/12))
 e^(1/12*I*pi)
 }}}
 Is there any rationale for this ? It looks like an inconsistency.

 See https://github.com/pynac/pynac/issues/113

 Since this is fixed in Sage now, this ticket should provide doctests.

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Ticket URL: <http://trac.sagemath.org/ticket/19738#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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