unit-Circle
Author:
Michael McCabe
Last Updated:
4 years ago
License:
Creative Commons CC BY 4.0
Abstract:
My spin on the unit circle.
\begin
Discover why 18 million people worldwide trust Overleaf with their work.
My spin on the unit circle.
\begin
Discover why 18 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}