diff --git a/math/arctan-pi2.tex b/math/arctan-pi2.tex new file mode 100755 index 0000000..1e7ed0a --- /dev/null +++ b/math/arctan-pi2.tex @@ -0,0 +1,61 @@ +\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} +\definecolor{dida}{HTML}{FFDE00} +\definecolor{moon}{HTML}{AFAFAF} +% +\usepackage{fontspec} +\setmainfont{Open Dyslexic} +% +\title{Trigonometry: ArcTan pi/2} +\begin{document} + \begin{tikzpicture}[background rectangle/.style={fill=white},show background rectangle] + % + \begin{scope}[scale=8] + \tkzDefPoint(0,0){O} + \tkzDefPoint(56,0){A} + \tkzDefPoint(56,7){B} + \tkzDrawSquare[fill=space](O,A) + % + \tkzDrawPolygon[fill=earth, opacity=0.7](O,A,B) + % + \tkzDefPoint(56,56){C} + \tkzDefPointBy[rotation = center O angle {atan(1/8)}](C) \tkzGetPoint{C1} + \tkzDefPointBy[rotation = center O angle {atan(1/8)}](A) \tkzGetPoint{A1} + \tkzDrawPolygon[fill=mars, opacity=0.7](O,A1,C1) + % + \tkzDefPoint(56,8){D} + \tkzDefPointBy[rotation = center O angle {atan(1/8)+45}](D) \tkzGetPoint{D1} + \tkzDefPointBy[rotation = center O angle {45}](A1) \tkzGetPoint{A2} + \tkzDrawPolygon[fill=dida, opacity=0.7](O,A2,D1) + % + \tkzDefPoint(56,32){E} + \tkzDefPointBy[rotation = center O angle {atan(1/8)+45+atan(1/7)}](E) \tkzGetPoint{E1} + \tkzDefPointBy[rotation = center O angle {atan(1/7)}](A2) \tkzGetPoint{A3} + \tkzDrawPolygon[fill=moon, opacity=0.7](O,A3,E1) + % + \tkzLabelSegment[black,below=5ex,pos=.5](O,A){\fontsize{299}{300}\selectfont 56} + \tkzLabelSegment[black,right=5ex,pos=.5](A,B){\fontsize{299}{300}\selectfont 7} + \tkzLabelSegment[white,above=10ex,pos=.5](O,A1){\fontsize{299}{300}\selectfont 56} + \tkzLabelSegment[white,right=10ex,pos=.5](A1,C1){\fontsize{299}{300}\selectfont 56} + \tkzLabelSegment[white,below=10ex,pos=.5](O,A2){\fontsize{299}{300}\selectfont 56} + \tkzLabelSegment[white,right=10ex,pos=.5](A2,D1){\fontsize{299}{300}\selectfont 8} + \tkzLabelSegment[white,above=20ex,pos=.5](O,A3){\fontsize{299}{300}\selectfont 56} + \tkzLabelSegment[black,right=20ex,pos=.6](A3,E1){\fontsize{299}{300}\selectfont 32} + % + \node at (28,-3) {\textcolor{black}{\fontsize{299}{300}\selectfont Arctan 1/8 + pi/4 + Arctan 1/7 + Arctan 4/7 = pi/2}}; + \end{scope} + % + \end{tikzpicture} +\end{document} \ No newline at end of file diff --git a/math/pdf/arctan-pi2.pdf b/math/pdf/arctan-pi2.pdf new file mode 100644 index 0000000..5e09347 Binary files /dev/null and b/math/pdf/arctan-pi2.pdf differ