unit-Circle
Forfatter:
Michael McCabe
Sidst opdateret:
4 år siden
Licens:
Creative Commons CC BY 4.0
Resumé:
My spin on the unit circle.
\begin
Discover why over 20 million people worldwide trust Overleaf with their work.
My spin on the unit circle.
\begin
Discover why over 20 million people worldwide trust Overleaf with their work.
\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{tikz}
\usepackage{geometry}
\geometry{verbose,tmargin=1cm,bmargin=1cm,lmargin=3cm,rmargin=3cm}
\begin{document}
\begin{center}
\begin{tikzpicture}[x=5cm,y=5cm]
\draw[<->] (-1.5,0)--(1.5,0)node[above]{$x$};
\draw[<->] (0,-1.5)--(0,1.5)node[right]{$y$};
\foreach \x in {-1,1}
\draw[shift={(\x,0)}](0pt,2pt)--(0,-2pt)node[below]{\footnotesize $\x$};
\foreach \y in {-1,1}
\draw[shift={(0,\y)}](2pt,0pt)--(-2pt,0pt)node[left]{\footnotesize $\y$};
\draw [color=gray!30,dash pattern=on 1pt off 1pt, xstep=0.1,ystep=0.1] (-1.5,-1.5) grid (1.5,1.5);
\draw[thick,gray!50,xstep=0.5,ystep=0.5](-1.5,-1.5) grid (1.5,1.5);
\foreach \x in {-1.4,-1.3,-1.2,-1.1,-0.9,-0.8,-0.7,-0.6,-0.5,-0.4,-0.3,-0.2,-0.1,0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1,1.1,1.2,1.3,1.4}
\draw(\x,2pt)--(\x,-2pt)node[below,gray!20]{$\x$};
%\draw[shift={(\x,0)}](0pt,2pt)--(0,-2pt)node[color=gray,rotate=90]{\footnotesize $\x$};
%\foreach \y in {-1.4,-1.3,-1.2,-1.1,-0.9,-0.8,-0.7,-0.6,-0.5,-0.4,-0.3,-0.2,-0.1,0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1,1.1,1.2,1.3,1.4}
% \draw(\y,0)node[below,gray!30]{$\y$};
%\draw[shift={(0,\y)}](2pt,0pt)--(-2pt,0pt)node[color=gray,left]{\footnotesize $\y$};
\draw (0,0) circle (1);
\foreach \x in {0,10,...,360}
\draw[dashed,color=blue] (0,0)--(\x:1);
\foreach \x in {0,10,...,360}
\draw [dashed,fill=blue] (\x:1) circle (1.5pt)node[sloped,above]{$\x$};
\foreach \x/\xtext in {
30/\frac{\pi}{6},
45/\frac{\pi}{4},
60/\frac{\pi}{3},
90/\frac{\pi}{2},
120/\frac{2\pi}{3},
135/\frac{3\pi}{4},
150/\frac{5\pi}{6},
180/\pi,
210/\frac{7\pi}{6},
225/\frac{5\pi}{4},
240/\frac{4\pi}{3},
270/\frac{3\pi}{2},
300/\frac{5\pi}{3},
315/\frac{7\pi}{4},
330/\frac{11\pi}{6},
360/2\pi
}
\draw (\x:5.75cm) node[above] {$\xtext$};
\foreach \x in {0,30,...,360}
\draw[dashed,color=red] (0,0)--(\x:5.5cm);
\foreach \x in {0,45,...,360}
\draw[dashed,color=red] (0,0)--(\x:5.5cm);
\end{tikzpicture}
\end{center}
\end{document}