feat(1G_math): version print pour 1B
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1G_math/03_Radians/1B_radian_print.pdf
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1G_math/03_Radians/1B_radian_print.pdf
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1G_math/03_Radians/1B_radian_print.tex
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1G_math/03_Radians/1B_radian_print.tex
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\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\author{Benjamin Bertrand}
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\title{Radians - Cours}
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\date{septembre 2025}
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\pagestyle{empty}
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\newcommand{\cours}{
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\vspace{-1cm}
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\section{Cercle trigonométrique}
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\begin{definition}[Cercle trigonométrique]
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\vspace{-0.5cm}
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\begin{minipage}{0.6\textwidth}
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Un \textbf{cercle trigonométrique} est un cercle de centre $O$ et de rayon 1 dont le sens de parcours est orienté \textbf{positivement} dans le sens inverse des aiguilles d'une montre.
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On appelle ce sens le sens \textbf{direct} ou \textbf{anti-horaire}.
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\end{minipage}
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\hfill
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\begin{minipage}{0.3\textwidth}
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\begin{tikzpicture}[scale=1.5]
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\cercleTrigo
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\draw[->, thick, red] (120:1.2) arc (120:150:1.2);
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\node[red] at (-1,1) {\huge$+$};
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\draw (0.5,0) node[below] {1};
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\end{tikzpicture}
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\end{minipage}
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\end{definition}
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\vspace{-1cm}
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\section{Angles en radians}
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\begin{definition}[Angle en radians]
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\vspace{-0.5cm}
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\begin{minipage}{0.6\textwidth}
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Soit $A$ un point sur un cercle trigonométrique.
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On appelle la mesure en \textbf{radian} de l'angle $\widehat{IOA}$ la longueur de l'arc de cercle entre $I$ et $A$ orienté par le sens trigonométrique.
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\end{minipage}
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\hfill
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\begin{minipage}{0.3\textwidth}
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\begin{tikzpicture}[scale=1.5]
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\cercleTrigo
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\draw[->, thick] (120:1.2) arc (120:150:1.2);
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\node[] at (-1,1) {$+$};
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\draw (0.5,0) node[below] {1};
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\draw[very thick, red] (0:1) arc (0:45:1);
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\draw[->, very thick, red] (0:0.3) arc (0:45:0.3);
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\draw[red] (0; 0) -- (45:1) node[above right] {\large$A$};
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\end{tikzpicture}
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\end{minipage}
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\end{definition}
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\vspace{-1cm}
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\paragraph{Exemples}: voir la correction de l'exercice 2 du plan de travail.
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\begin{propriete}[Convertion degré - radian]
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Les mesures d'angles en radians et en degré sont proportionnelles
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\[
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\mbox{mesure en radian} = \mbox{mesure en degré} \times \frac{\pi}{180}
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\]
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\end{propriete}
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}
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\begin{document}
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%\maketitle
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\cours
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\vfill
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\setcounter{section}{0}
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\cours
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\end{document}
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