A unit circle with cosine and sine values for some common angles.
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% Unit circle % Author: Supreme Aryal % A unit circle with cosine and sine values for some % common angles. \documentclass[landscape]{article} \usepackage{tikz} \usepackage[active,tightpage]{preview} \PreviewEnvironment{tikzpicture} \setlength\PreviewBorder{5pt}% \usepackage[top=1in,bottom=1in,right=1in,left=1in]{geometry} \begin{document} \begin{tikzpicture}[scale=5.3,cap=round,>=latex] % draw the coordinates \draw[->] (-1.5cm,0cm) -- (1.5cm,0cm) node[right,fill=white] {$x$}; \draw[->] (0cm,-1.5cm) -- (0cm,1.5cm) node[above,fill=white] {$y$}; % draw the unit circle \draw[thick] (0cm,0cm) circle(1cm); \foreach \x in {0,30,...,360} { % lines from center to point \draw[gray] (0cm,0cm) -- (\x:1cm); % dots at each point \filldraw[black] (\x:1cm) circle(0.4pt); % draw each angle in degrees \draw (\x:0.6cm) node[fill=white] {$\x^\circ$}; } % draw each angle in radians \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:0.85cm) node[fill=white] {$\xtext$}; \foreach \x/\xtext/\y in { % the coordinates for the first quadrant 30/\frac{\sqrt{3}}{2}/\frac{1}{2}, 45/\frac{\sqrt{2}}{2}/\frac{\sqrt{2}}{2}, 60/\frac{1}{2}/\frac{\sqrt{3}}{2}, % the coordinates for the second quadrant 150/-\frac{\sqrt{3}}{2}/\frac{1}{2}, 135/-\frac{\sqrt{2}}{2}/\frac{\sqrt{2}}{2}, 120/-\frac{1}{2}/\frac{\sqrt{3}}{2}, % the coordinates for the third quadrant 210/-\frac{\sqrt{3}}{2}/-\frac{1}{2}, 225/-\frac{\sqrt{2}}{2}/-\frac{\sqrt{2}}{2}, 240/-\frac{1}{2}/-\frac{\sqrt{3}}{2}, % the coordinates for the fourth quadrant 330/\frac{\sqrt{3}}{2}/-\frac{1}{2}, 315/\frac{\sqrt{2}}{2}/-\frac{\sqrt{2}}{2}, 300/\frac{1}{2}/-\frac{\sqrt{3}}{2}} \draw (\x:1.25cm) node[fill=white] {$\left(\xtext,\y\right)$}; % draw the horizontal and vertical coordinates % the placement is better this way \draw (-1.25cm,0cm) node[above=1pt] {$(-1,0)$} (1.25cm,0cm) node[above=1pt] {$(1,0)$} (0cm,-1.25cm) node[fill=white] {$(0,-1)$} (0cm,1.25cm) node[fill=white] {$(0,1)$}; \end{tikzpicture} \end{document}
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