ulaulaman
/
tikzdraw
mirror of https://github.com/ulaulaman/tikzdraw.git
1
0
Fork 0
Code Issues Releases Wiki Activity

Without words: arctan 1/2 + arctan 1/3 = pi/4

This commit is contained in:
ulaulaman 2020-08-03 22:00:39 +02:00
parent d480e3f1ca
commit 2faef9cb41
2 changed files with 44 additions and 0 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

44
math/arctan-pi4.tex Executable file
View File

@ -0,0 +1,44 @@
\documentclass{standalone}
%
\usepackage{tikz}
\usetikzlibrary{backgrounds,calc}
\usepackage{tkz-euclide}
\usetkzobj{all}
%
\usepackage{amsmath}
%
\usepackage{xcolor}
%
\definecolor{space}{HTML}{0A2543}
\definecolor{earth}{HTML}{0089FA}
\definecolor{mars}{HTML}{DC7B4E}
%
\title{Trigonometry: ArcTan pi/4}
\begin{document}
\begin{tikzpicture}[background rectangle/.style={fill=white},show background rectangle]
%
\begin{scope}[scale=8]
\tkzDefPoint(0,0){O}
\tkzDefPoint(2,0){A}
\tkzDefPoint(2,1){B}
\tkzDrawSquare[fill=space](O,A)
%
\tkzDrawPolygon[fill=earth](O,A,B)
%
\tkzDefPoint(3,0){C}
\tkzDefPoint(3,1){D}
\tkzDefPointBy[rotation = center O angle {atan(1/2)}](C) \tkzGetPoint{C1}
\tkzDefPointBy[rotation = center O angle {atan(1/2)}](D) \tkzGetPoint{D1}
%
\tkzDrawPolygon[fill=mars](O,C1,D1)
%
\tkzLabelSegment[black,below=2ex,pos=.5](O,A){\fontsize{17}{18}\selectfont $2$}
\tkzLabelSegment[black,right=2ex,pos=.5](A,B){\fontsize{17}{18}\selectfont $1$}
\tkzLabelSegment[black,below=2ex,pos=0.8](O,C1){\fontsize{17}{18}\selectfont $3$}
\tkzLabelSegment[black,right=2ex,pos=.5](C1,D1){\fontsize{17}{18}\selectfont $1$}
%
\node at (0.5,1.5) {\textcolor{white}{\fontsize{17}{18}\selectfont $\arctan \frac{1}{2} + \arctan \frac{1}{3} = \frac{\pi}{4}$}};
\end{scope}
%
\end{tikzpicture}
\end{document}

BIN
math/pdf/arctan-pi4.pdf Normal file
View File

Binary file not shown.