#20098: Re/Im(tanh) wrong formula
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   Reporter:  rws        |            Owner:
       Type:  defect     |           Status:  new
   Priority:  major      |        Milestone:  sage-7.1
  Component:  symbolics  |         Keywords:
  Merged in:             |          Authors:
  Reviewers:             |  Report Upstream:  N/A
Work issues:             |           Branch:
     Commit:             |     Dependencies:
   Stopgaps:             |
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 In analogy to #19791:
 {{{
 sage: tanh(1+2*I).n()
 1.16673625724092 - 0.243458201185725*I
 sage: tanh(1+2*I).real().n()
 0.202053272732553
 sage: tanh(1+2*I).imag().n()
 -0.579697798322816
 sage: tanh(x).real()
 tanh(real_part(x))/(tan(imag_part(x))^2*tanh(real_part(x))^2 + 1)
 sage: tanh(x).imag()
 tan(imag_part(x))/(tan(imag_part(x))^2*tanh(real_part(x))^2 + 1)
 }}}
 Will be fixed in Pynac-0.6.3 and should be doctested here.

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Ticket URL: <http://trac.sagemath.org/ticket/20098>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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