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"body": "<div id=\"comment:0\"></div>\n\nIn analogy to #19791:\n\n```\nsage: tanh(1+2*I).n()\n1.16673625724092 - 0.243458201185725*I\nsage: tanh(1+2*I).real().n()\n0.202053272732553\nsage: tanh(1+2*I).imag().n()\n-0.579697798322816\nsage: tanh(x).real()\ntanh(real_part(x))/(tan(imag_part(x))^2*tanh(real_part(x))^2 + 1)\nsage: tanh(x).imag()\ntan(imag_part(x))/(tan(imag_part(x))^2*tanh(real_part(x))^2 + 1)\n```\nSee for example http://dlmf.nist.gov/4.35.E36\n\nWill be fixed in Pynac-0.6.3 and should be doctested here.\n\nCC: @behackl\n\nComponent: **symbolics**\n\nAuthor: **Ralf Stephan**\n\nBranch/Commit: **[`9eafdee`](https://github.com/sagemath/sagetrac-mirror/commit/9eafdee72e2d440a0ae9f7b47125a867a1524960)**\n\nReviewer: **Marc Mezzarobba**\n\n_Issue created by migration from https://trac.sagemath.org/ticket/20098_\n\n",
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"title": "doctest fix for: Re/Im(tanh) wrong formula",
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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)
See for example http://dlmf.nist.gov/4.35.E36
Will be fixed in Pynac-0.6.3 and should be doctested here.
CC: @behackl
Component: symbolics
Author: Ralf Stephan
Branch/Commit: 9eafdee
Reviewer: Marc Mezzarobba
Issue created by migration from https://trac.sagemath.org/ticket/20098
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"body": "Description changed:\n``````diff\n--- \n+++ \n@@ -12,4 +12,6 @@\n sage: tanh(x).imag()\n tan(imag_part(x))/(tan(imag_part(x))^2*tanh(real_part(x))^2 + 1)\n ```\n+See for example http://dlmf.nist.gov/4.35.E36\n+\n Will be fixed in Pynac-0.6.3 and should be doctested here.\n``````\n",
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}Description changed:
---
+++
@@ -12,4 +12,6 @@
sage: tanh(x).imag()
tan(imag_part(x))/(tan(imag_part(x))^2*tanh(real_part(x))^2 + 1)
```
+See for example http://dlmf.nist.gov/4.35.E36
+
Will be fixed in Pynac-0.6.3 and should be doctested here.archive/issue_comments_288199.json:
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