summaryrefslogtreecommitdiffstats
path: root/chapitres/radicaux.tex
diff options
context:
space:
mode:
authorDavid A. Madore <david+git@madore.org>2012-03-08 21:50:12 +0100
committerDavid A. Madore <david+git@madore.org>2012-03-08 21:50:12 +0100
commit9326588869d3144ef17e1324c688103e1ae88c82 (patch)
tree26546a77d879e3e7cf0cc1f0575cdfb2133fb6ce /chapitres/radicaux.tex
parentb4f7969f03c9acc931112ee17b82fc160963db94 (diff)
downloadgalois-9326588869d3144ef17e1324c688103e1ae88c82.tar.gz
galois-9326588869d3144ef17e1324c688103e1ae88c82.tar.bz2
galois-9326588869d3144ef17e1324c688103e1ae88c82.zip
[radicaux] Expression brute de cos(2π/17).
Diffstat (limited to 'chapitres/radicaux.tex')
-rw-r--r--chapitres/radicaux.tex10
1 files changed, 10 insertions, 0 deletions
diff --git a/chapitres/radicaux.tex b/chapitres/radicaux.tex
index 5846065..3ba4931 100644
--- a/chapitres/radicaux.tex
+++ b/chapitres/radicaux.tex
@@ -715,6 +715,16 @@ vaut $\sqrt{-11}$. On obtient finalement :
\end{array}
\]
+\subsubsection{$n=17$} \XXX
+
+\[
+\begin{array}{rl}
+\displaystyle\cos\frac{2\pi}{17}
+&\displaystyle= - \frac{1}{16} + \frac{1}{16} \, \sqrt{17} + \frac{1}{8} \, \sqrt{\frac{17}{2} - \frac{1}{2} \, \sqrt{17}}\\
+&\displaystyle + \frac{1}{4} \, \sqrt{\frac{17}{4} + \frac{3}{4} \, \sqrt{17} - \frac{1}{2} \, \sqrt{\frac{17}{2} - \frac{1}{2} \, \sqrt{17}} - \sqrt{\frac{17}{2} + \frac{1}{2} \, \sqrt{17}}}
+\end{array}
+\]
+
\ifx\danslelivre\undefined