#19791: tan(complex).imag() wrong
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       Reporter:  rws                            |        Owner:
           Type:  defect                         |       Status:  new
       Priority:  major                          |    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:

> {{{
> sage: tan(2+I).n()
> -0.243458201185725 + 1.16673625724092*I
> sage: tan(2+I).imag().n()
> 0.0605381745356926
> sage: tan(2+I).imag()
> tanh(1)/(tan(2)^2*tan(1)^2 + 1)
> }}}
>
> There is a form that works at
> http://dlmf.nist.gov/4.21.E39
>
> See https://github.com/pynac/pynac/issues/114

New description:

 {{{
 sage: tan(2+I).n()
 -0.243458201185725 + 1.16673625724092*I
 sage: tan(2+I).imag().n()
 0.0605381745356926
 sage: tan(2+I).imag()
 tanh(1)/(tan(2)^2*tan(1)^2 + 1)
 }}}

 There is a form that works at
 http://dlmf.nist.gov/4.21.E39

 See https://github.com/pynac/pynac/issues/114

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

--

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Ticket URL: <http://trac.sagemath.org/ticket/19791#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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