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\begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2, thick]
\tikzstyle{zero} = [draw, circle, inner sep =0, minimum height=0.15cm]
\tikzset{pole/.style={cross out, draw=black, minimum size=(0.15cm-\pgflinewidth), inner sep=0pt, outer sep=0pt}}
\draw[gray, ->] (0,-2) -- (0,2) node[anchor=south]{$\mathrm{Im}~z$};
\draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{$\mathrm{Re}~z$};
\begin{scope}[xscale=0.6]
\node[gray, anchor=north] at (-6,0) {$-3\pi$};
\node[gray, anchor=north] at (-4,0) {$-2\pi$};
\node[gray, anchor=north] at (-2,0) {$-\pi$};
% \node[gray, anchor=north] at (0,0) {$0$};
\node[gray, anchor=north] at (2,0) {$\pi$};
\node[gray, anchor=north] at (4,0) {$2\pi$};
\node[gray, anchor=north] at (6,0) {$3\pi$};
\node[gray, anchor=east] at (0,-1.5) {$-\infty$};
% \node[gray, anchor=south east] at (0, 0) {$0$};
\node[gray, anchor=east] at (0, 1.5) {$\infty$};
\clip(-7.5,-2) rectangle (7.5,2);
\foreach \i in {-2,...,1} {
\begin{scope}[xshift=\i*4cm]
\draw[->, thick, darkgreen!50] (-1, 0) -- (0,0);
\draw[->, thick, orange!50] (0, 0) -- (0,1.5);
\draw[->, thick, orange!50] (0, 0) -- (0,-1.5);
\draw[->, thick, darkgreen!50] (1, 0) -- (0,0);
\draw[->, thick, cyan!50] (2, 0) -- (1,0);
\draw[->, thick, blue!50] (2,1.5) -- (2, 0);
\draw[->, thick, blue!50] (2,-1.5) -- (2, 0);
\draw[->, thick, cyan!50] (2, 0) -- (3,0);
\end{scope}
}
% \pause
\draw[ultra thick, ->, darkgreen] (1, 0) -- (0,0);
% \pause
\draw[ultra thick, ->, orange] (0, 0) -- (0,1.5);
% \pause
\draw[ultra thick, ->, cyan] (2, 0) -- (1,0);
\draw[ultra thick, ->, blue] (2,1.5) -- (2, 0);
% \pause
\foreach \i in {-2,...,1} {
\begin{scope}[xshift=\i*4cm]
\node[zero] at (1,0) {};
\node[zero] at (3,0) {};
\end{scope}
}
\end{scope}
\node[zero] at (4,2) (n) {};
\node[anchor=west] at (n.east) {Nullstelle};
\begin{scope}[yshift=-3.25cm]
\draw[->, thick](0,0) -- node[anchor=center, fill=white]{$z = \cos^{-1}(w)$} (0,1);
\end{scope}
\begin{scope}[yshift=-4cm]
\draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{$w$};
\draw[ultra thick, ->, blue] (-4, 0) -- (-2, 0);
\draw[ultra thick, ->, cyan] (-2, 0) -- (0, 0);
\draw[ultra thick, ->, darkgreen] (0, 0) -- (2, 0);
\draw[ultra thick, ->, orange] (2, 0) -- (4, 0);
\node[anchor=south] at (-4,0) {$-\infty$};
\node[anchor=south] at (-2,0) {$-1$};
\node[anchor=south] at (0,0) {$0$};
\node[anchor=south] at (2,0) {$1$};
\node[anchor=south] at (4,0) {$\infty$};
\end{scope}
\end{tikzpicture}
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