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\documentclass{standalone}
\standaloneconfig{margin=1cm}
\usepackage{fontspec}
\usepackage{tikz,tkz-tab}
\usepackage{xcolor}
\usepackage{amsmath, amsfonts, amssymb, amsthm}
\usetikzlibrary{calc}
\usetikzlibrary{shapes,decorations.text, intersections}

\definecolor{RoyalBlue}{HTML}{4169E1} % Royal Blue
\definecolor{ocre}{RGB}{243,102,25} % orange color
\definecolor{DarkGreen}{HTML}{006400} % Dark Green

\everymath{\displaystyle}

\begin{document}
\begin{tikzpicture}
      \node at (0,0) {
          \begin{tikzpicture}
              \tkzTabInit[lgt=4, espcl=2.5] %
              {$x$ /1.75, $1+\tan x$ /1, $\sin 2x$ /1, $\frac{1+\tan x}{\sin 2x}$/1.75}
              {$-\pi$,$\frac{-\pi}{2}$,$\frac{-\pi}{4}$,$0$,$\frac{\pi}{2}$,$\frac{3\pi}{4}$,$\pi$}
              \tkzTabLine{ , +, d, -, z, +, t, +, d, -, z, +}
              \tkzTabLine{z, -, t, -, t, -, z, +, t, +, t, +,z}
              \tkzTabLine{d, -, d, +, z, -, z, +, d, -, z, +,d}
          \end{tikzpicture}
        };
      \node[align=left,text width=10cm] at (2.5,7) {
          ~$ x\in]-\pi,\pi]\quad \frac{1+\tan x}{\sin(2x)}\ge0$
      };
      \node[align=left,text width=10cm] at (2.5,5) {
          ~$ S=\left]\frac{-\pi}{2},\frac{-\pi}{4}\right]\cup\left[0,\frac{\pi}{2}\right]\cup\left[\frac{3\pi}{4},\pi\right[$
      };
      \node at (7.5,5.5) {
          \begin{tikzpicture}
          \coordinate (A) at (0,0);
          \draw[red!50] (A) circle (1.9cm);
          % Draw the inner circle
          \draw[red!50] (A) circle (1.4cm);
          % Draw the curved line
          \draw[red!50, decorate, decoration={text along path,
            text={|\fontspec{DejaVu Sans}\color{red!75}\bfseries|★MOSAID RADOUAN★},
            text align={align=center}, raise=-3pt}] (A) ++ (180:1.6cm) arc (180:0:1.6cm);
          \draw[decorate, decoration={text along path,
            text={|\fontspec{DejaVu Sans}\color{red!75}\bfseries|∞★~mosaid.xyz~★∞ },
            text align={align=center}, raise=-6.5pt}] (A) ++ (180:1.53cm) arc (-180:0:1.53cm);
          \node[red!75,font=\fontsize{48}{48}\fontspec{DejaVu Sans}\bfseries\selectfont] at (A) {✷};
          \end{tikzpicture}

      };
      \node at (-6.5,5.5) {
          \begin{tikzpicture}
                \def\radius{1.5} %
                \coordinate (O) at (0,0);
                \coordinate (I) at (\radius,0);
                \coordinate (M) at (-45:\radius);
                \coordinate (M') at (135:\radius);
                \node[above left ] at (O) {$O$};
                \node[above right] at (I) {$I$};
                \fill (O) circle (1.5pt);
                \draw (O) circle (\radius);
                \draw[] (-1.2*\radius,0) -- (1.2*\radius,0);
                \draw[] (0,-1.2*\radius) -- (0,1.2*\radius);
                \draw[DarkGreen, line width=0.3mm, name path = tangente] (\radius,-2) --  (\radius,2.5) ;
                \foreach \x in {-3,-2.9 , ...,0.5} {
                  \draw[RoyalBlue, thick] (\radius-0.1,\x+\radius) -- ++(0.2,0); %
                }
                \draw[thick] (\radius-0.1,\radius) -- ++(0.2,0) node[right] {$1$}; %

                \path [name path=OM] (O) -- ($(O)!3.5!(M)$);
                \path [name intersections={of=OM and tangente, by=T}];

                \fill (M) circle (1.5pt);
                \fill (M') circle (1.5pt);
                \fill (T) circle (1.5pt);
                \draw[RoyalBlue, line width=0.5mm] ($(M)!1.2!(M')$) -- (M);
                \draw[RoyalBlue, line width=0.5mm, dashed] (M') -- ($(M')!1.2!(T)$);

                \node[above, font=\small, yshift=0.1cm] at (M) {$M$};
                \node[below, font=\tiny] at (M) {$\frac{-\pi}{4}$};
                \node[below, font=\small,yshift=-0.2cm] at (M') {$M'$};
                \node[above, font=\tiny] at (M') {$\frac{3\pi}{4}$};
                \draw[red, line width=0.7mm] (M) arc(-45:90:\radius);
                \draw[red, line width=0.7mm] (M') arc(135:270:\radius);
                \node[above, font=\small] at (90:1.2*\radius) {$\frac{\pi}{2}$};
                \node[above left, font=\small] at (90:\radius) {$J$};
                \node[below left, font=\small] at (-90:\radius) {$J'$};
                \node[below, font=\small] at (-90:1.2*\radius) {$\frac{-\pi}{2}$};
                \node[below left, font=\small] at (-\radius,0) {$-\pi$};
                \node[above left, font=\small] at (-\radius,0) {$\pi$};
                \node[right, font=\tiny] at (T) {$-1$};
          \end{tikzpicture}\\

      };
\end{tikzpicture}

\end{document}




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