Created
August 30, 2015 01:32
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An example of parametric plot using TikZ from *TikZ & PGF Manual*.
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\documentclass{article} | |
\usepackage{tikz} | |
\begin{document} | |
\begin{tikzpicture}[scale=2] | |
\draw[gray,very thin] (-1.9,-1.9) grid (2.9,3.9) | |
[step=0.25cm] (-1,-1) grid (1,1); | |
\draw[blue] (1,-2.1) -- (1,4.1); % asymptote | |
\draw[->] (-2,0) -- (3,0) node[right] {$x(t)$}; | |
\draw[->] (0,-2) -- (0,4) node[above] {$y(t)$}; | |
\foreach \pos in {-1,2} | |
\draw[shift={(\pos,0)}] (0pt,2pt) -- (0pt,-2pt) node[below] {$\pos$}; | |
\foreach \pos in {-1,1,2,3} | |
\draw[shift={(0,\pos)}] (2pt,0pt) -- (-2pt,0pt) node[left] {$\pos$}; | |
\fill (0,0) circle (0.064cm); | |
\draw[thick,variable=\t,domain=0.1:3.5,samples=500] | |
% The plot is reparameterised such that there are more samples | |
% near the center. | |
plot ({\t*sin((1/\t) r)},{\t*cos((1/\t) r)}) | |
node[right] {$\bigl(x(t),y(t)\bigr) = (t\sin \frac{1}{t}, t\cos \frac{1}{t})$}; | |
\fill[red] (0.63662,0) circle (2pt) | |
node [below right,fill=white,yshift=-4pt] {$(\frac{2}{\pi},0)$}; | |
\end{tikzpicture} | |
\end{document} |
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