\documentclass[a4paper,12pt]{article}
\usepackage[latin1]{inputenc}
\usepackage[french]{babel}
\usepackage{amsmath,amssymb}
\usepackage[left=2.5cm,right=2.5cm,top=3cm,bottom=3cm]{geometry}
\usepackage{fancyhdr}
\fancyhf{}
\setlength{\headheight}{26pt}
\setlength{\footskip}{18pt}
\renewcommand {\headrulewidth}{0pt}
\renewcommand {\footrulewidth}{0pt}
\usepackage{lastpage}
\pagestyle{fancy}
\usepackage {array}
\usepackage{graphicx}
\usepackage{tabularx}
\usepackage{pst-plot}\let\clipbox\relax % nécessaire pour éviter une erreur de compilation
\usepackage{setspace}
\usepackage{dsfont}
\usepackage[np]{numprint}
\usepackage{adjustbox}
\usepackage [alwaysadjust]{paralist}

\usepackage{eurosym}
\usepackage{spreadtab} % pour une tabulation automatique
%\usepackage{enumitem} % pour des puces différentes dans des listes
\usepackage{enumerate}
\frenchbsetup{StandardLists=true} % pour des points au lieu des tirets pour les listes par défaut

\setdefaultenum {1.}{a)}{}{}
\hyphenpenalty 10000 % empèche la coupure de mots
\renewcommand*{\tabularxcolumn}[1]{m{#1}} %centrage vertical des cellules d'un tableau tabularx

\newcommand{\R}{\mathds {R}}
\newcommand{\N}{\mathds {N}}
\newcommand{\Z}{\mathds {Z}}
\newcommand{\Q}{\mathds {Q}}
\newcommand{\C}{\mathds {C}}

\newcommand{\vect}[1]{\mathchoice%
{\overrightarrow{\displaystyle\mathstrut#1\,\,}}%
{\overrightarrow{\textstyle\mathstrut#1\,\,}}%
{\overrightarrow{\scriptstyle\mathstrut#1\,\,}}%
{\overrightarrow{\scriptscriptstyle\mathstrut#1\,\,}}}

\renewcommand{\theenumi}{\textbf{\arabic{enumi}}}
\renewcommand{\labelenumi}{\textbf{\theenumi.}}
\renewcommand{\theenumii}{\textbf{\alph{enumii}}}
\renewcommand{\labelenumii}{\textbf{\theenumii.}}

\def\Oij{$\left(\text{O},~\vect{i},~\vect{j}\right)$}
\def\ds{\displaystyle }
\def\tvi{\vrule height 15pt depth 10pt width 0pt }

\DecimalMathComma

% ########################### MES PARAMETRES ##############################################################
\def\monnumero{ 3 }
\def\madate{ Novembre 2024 }
% ########################### MES PARAMETRES ##############################################################

% en-tete
\lhead{\footnotesize{\textsf{Lycée Schuman Perret\\ \madate}}} %gauche
\chead{\textsf{\textcolor{red}{\textbf{\textsc{Fiche d'exercices No \monnumero}}}}} %centre
\rhead{\footnotesize{\textsf{1\textsuperscript{ère} Spé maths }}}%droit
%pied de page
\rfoot{\scriptsize{\textsf{Page~\thepage{}~sur~\pageref{LastPage}}}}
\lfoot{\scriptsize{\textsf{\textsc{Stéphane Le Méteil }}}}

\setlength{\columnseprule}{0.5pt}
\setlength{\columnsep}{30pt}
\setlength{\parindent}{0mm}

\newcounter{nexo}\setcounter{nexo}{0}
\newcommand{\exo}{\bigskip  \stepcounter{nexo} \vskip 0.3cm \par{\textsf{\textbf{\textcolor{blue}{{\small{EXERCICE~\arabic{nexo}}}}}}}\quad}
\newcolumntype{P}[1]{>{\centering\arraybackslash}p{#1\textwidth}}
\begin{document}%\everymath{\displaystyle}
\doublespacing

\exo Placer les angles suivants sur le cercle trigonométrique :

\begin{minipage}{3cm}
\begin{tabularx}{\linewidth}{*{4}{P{0.3}}}
0                  &$\dfrac{\pi}{6}$   &$\dfrac{-\pi}{4}$   \cr\cr
$\dfrac{\pi}{3}$   &$\dfrac{-\pi}{2}$  &$2\pi$              \cr\cr
$\dfrac{7\pi}{4}$  &$\dfrac{2\pi}{3}$  &$\dfrac{3\pi}{4}$   \cr\cr
$\dfrac{-5\pi}{6}$ &$\pi$              & $\dfrac{\pi}{2}$   \cr\cr
$\dfrac{-11\pi}{3}$&-$\pi$             & $2\pi$\cr
\end{tabularx}
\end{minipage}\qquad\hfill
\begin{minipage}{0.8\linewidth}
\adjustbox{scale=1.1}
    {
    \newrgbcolor{vert}{0 0.49 0}
    \newrgbcolor{bleu}{0 0 0.49}
    \newrgbcolor{rouge}{0.69 0 0}
    \psset{xunit=5.0cm,yunit=5.0cm,algebraic=true,dimen=middle,dotstyle=o,dotsize=5pt 0,linewidth=1.6pt,arrowsize=3pt 2,arrowinset=0.25}
    \begin{pspicture*}(-1.1,-1.2)(1.1,1.2)
    \psaxes[labelFontSize=\scriptstyle,xAxis=true,yAxis=true,Dx=2.,Dy=2.,linewidth=1.pt]{->}(0,0)(-1.1,-1.1)(1.1,1.1)
    \pscircle[linewidth=1.pt](0.,0.){5}
    \psline[linewidth=1.pt,linestyle=dashed,linecolor=vert](0.866,0.5)(-0.866,0.5)(-0.866,-0.5)(0.866,-0.5)(0.866,0.5)(-0.866,-0.5)
    \psline[linewidth=1.pt,linestyle=dashed,linecolor=vert](-0.866,0.5)(0.866,-0.5)
    \psline[linewidth=1.5pt,linestyle=dotted,linecolor=bleu](0.707,0.707)(-0.707,0.707)(-0.707,-0.707)(0.707,-0.707)(0.707,0.707)(-0.707,-0.707)
    \psline[linewidth=1.5pt,linestyle=dotted,linecolor=bleu](-0.707,0.707)(0.707,-0.707)
    \psline[linewidth=1.pt,linestyle=solid,linecolor=rouge](0.5,0.86)(-0.5,0.866)(-0.5,-0.866)(0.5,-0.866)(0.5,0.85)(-0.5,-0.866)
    \psline[linewidth=1.pt,linestyle=solid,linecolor=rouge](-0.5,0.866)(0.5,-0.866)
    \parametricplot[linewidth=1.pt,arrows=->]{0.48296887585656134}{0.9403949053213893}{1.*1.3*cos(t)+0.*1.3*sin(t)+0.|0.*1.32*cos(t)+1.*1.3*sin(t)+0.}
    \SpecialCoor
    \begin{scriptsize}
    \rput(1,0.9){\Large\black{$+$}}
    \rput(5.2;2){$0$}
    \rput(0.9,0.05){\vert $\frac{\sqrt{3}}{2}$}\rput(-0.8,0.05){\vert $\frac{-\sqrt{3}}{2}$}\rput(0.05,0.55){\vert $\frac{1}{2}$}\rput(0.05,-0.45){\vert $\frac{-1}{2}$}
    \rput(0.75,0.05){\bleu $\frac{\sqrt{2}}{2}$}\rput(-0.65,0.05){\bleu $\frac{-\sqrt{2}}{2}$}\rput(0.05,0.75){\bleu $\frac{\sqrt{2}}{2}$}\rput(0.06,-0.65){\bleu $\frac{-\sqrt{2}}{2}$}
    \rput(0.55,0.05){\rouge $\frac{1}{2}$}\rput(-0.45,0.05){\rouge $\frac{-1}{2}$}\rput(0.05,0.92){\rouge $\frac{\sqrt{3}}{2}$}\rput(0.06,-0.82){\rouge $\frac{-\sqrt{3}}{2}$}
    \end{scriptsize}
    \end{pspicture*}
    }
\end{minipage}


\vskip -0.5cm\exo Donner les valeurs des cosinus et sinus suivants :

\begin{tabularx}{\linewidth}{*{8}{P{0.1}}}
$\dfrac{\pi}{6}$&$\dfrac{\pi}{4}$&$\dfrac{\pi}{3}$&$\dfrac{\pi}{2}$&$\dfrac{-\pi}{6}$&$\dfrac{-\pi}{4}$&$\dfrac{-\pi}{3}$&$\dfrac{-\pi}{2}$\cr\cr
$\dfrac{2\pi}{3}$&$\dfrac{3\pi}{4}$&$\dfrac{5\pi}{6}$&$\pi$&$\dfrac{-2\pi}{3}$&$\dfrac{-3\pi}{4}$&$\dfrac{-5\pi}{6}$&$0$\cr\cr
\end{tabularx}

\vskip -0.5cm\exo Résoudre les équations suivantes :

\begin{enumerate}[a)]
  \item $\cos(x) = \dfrac12$
  \item $\cos(x) = -\dfrac{\sqrt{2}}{2}$
  \item $\cos(x) = \dfrac{-\sqrt{3}}{2}$
\end{enumerate}

\end{document} 