unit-Circle
作者:
Michael McCabe
最近上传:
4 年前
许可:
Creative Commons CC BY 4.0
摘要:
My spin on the unit circle.
\begin
Discover why over 20 million people worldwide trust Overleaf with their work.
\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}