\begin{propriete}[Valeurs remarquables]
% \begin{tabular}{|*{6}{c|}}
\begin{tableau}[t]{\linewidth}{6}
 \hline 
 angle {\boldmath $\widehat{IOM}$}& $0\degremm$ & $30\degremm$ & $45\degremm$ & $60\degremm$ & $90\degremm$ \\
 \hline 
 \textbf{réel} {\boldmath $x$} & 0 & $\dfrac{\TopStrut \pi}{\BotStrut 6}$ & $\dfrac{\pi}{4}$ & $\dfrac{\pi}{3}$ & $\dfrac{\pi}{2}$ \\
 \hline 
{\boldmath $\cos x$} {\boldmath $\cos \widehat{IOM}$} & 1 & $\dfrac{\sqrt{3}}{2}$ & $\dfrac{\sqrt{2}}{2}$ & $\dfrac{1}{2}$ & 0 \\
  \hline 
 {\boldmath$\sin x$} {\boldmath $\sin \widehat{IOM}$}& 0 & $\dfrac{1}{2}$  & $\dfrac{\sqrt{2}}{2}$ & $\dfrac{\sqrt{3}}{2}$& 1 \\
 \hline
 % \end{tabular}
 \end{tableau}
 
 
Le graphique ci-dessous permet de visualiser les valeurs remarquables résumées du tableau.  

\begin{center}
 \begin{tikzpicture}[scale=4,general]
\draw[axe] (0,0) -- (1.2,0);
\draw (1,0) node{$+$};
\draw (1,0)  node[below] {1};
\draw[axe] (0,0) -- (0,1.2); 
\draw (0,1) node{$+$};
\draw (0,1) node[left] {1};
\draw (1,0) node[above right] {$I$};
\draw (0,1) node[above right] {$J$};
\draw (0,0) node[below left] {$O$};
\draw (0:1) arc (0:90:1);
\draw[color=C1] (0.87,0.5) node[above right] {{\boldmath $N\left(\frac{\pi}{6}\right)$}};
\draw[color=C1] (0,0)-- (0.87,0.5);
\draw[dashed,color=C1,->](0.87,0.5)-- (0,0.5);
\draw[dashed,color=C1,->]  (0.87,0.5)-- (0.87,0);
\draw[color=C1] (-0.1,0.5) node {{\boldmath$\frac{1}{2}$}};
\draw[color=C1] (0.87,-0.1) node {{\boldmath$\frac{\sqrt{3}}{2}$}};
\draw[color=C1] (0:0.2) arc (0:30:0.2);
\draw[color=C1] (0.245,0.05) node {\footnotesize {\boldmath$30\degremm$}};
                    %
\draw[color=J1] (0.71,0.71) node[above right] {{\boldmath$P\left(\frac{\pi}{4}\right)$}};
\draw[color=J1] (0,0)-- (0.71,0.71);
\draw[dashed,color=J1,->] (0.71,0.71)-- (0,0.71);
\draw[dashed,color=J1,->] (0.71,0.71)-- (0.71,0);
\draw[color=J1] (-0.1,0.71) node {{\boldmath$\frac{\sqrt{2}}{2}$}};
\draw[color=J1] (0.71,-0.1) node {{\boldmath$\frac{\sqrt{2}}{2}$}};
\draw[color=J1] (0:0.3) arc (0:45:0.3);
\draw[color=J1] (0.325,0.13) node {\footnotesize{\boldmath$45\degremm$}};
                    % 
\draw[color=A1] (0.5,0.87) node[above right] {{\boldmath$M\left(\frac{\pi}{3}\right)$}};
\draw[color=A1] (0.5,0.87)-- (0,0);
\draw[dashed,color=A1] (0,0.87)-- (0.5,0.87);
\draw[dashed,color=A1] (0.5,0.87)-- (0.5,0);
\draw[color=A1] (-0.1,0.866) node {{\boldmath$\frac{\sqrt{3}}{2}$}};
\draw[color=A1] (0.5,-0.1) node {{\boldmath$\frac{1}{2}$}};
\draw[color=A1] (0:0.4) arc (0:60:0.4);
\draw[color=A1] (0.35,0.28) node {\footnotesize {\boldmath$60\degremm$}};
\end{tikzpicture}
\end{center}
\end{propriete}

\begin{preuve}Les preuves seront étudiées au T.P. \ref{2G6_TP_preuvevaleurremarquable}\end{preuve}