61 lines
2.2 KiB
TeX
61 lines
2.2 KiB
TeX
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\documentclass{standalone}
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%
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\usepackage{tikz}
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\usetikzlibrary{backgrounds,calc}
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\usepackage{tkz-euclide}
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\usetkzobj{all}
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%
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\usepackage{amsmath}
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%
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\usepackage{xcolor}
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%
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\definecolor{space}{HTML}{0A2543}
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\definecolor{earth}{HTML}{0089FA}
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\definecolor{mars}{HTML}{DC7B4E}
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\definecolor{dida}{HTML}{FFDE00}
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\definecolor{moon}{HTML}{AFAFAF}
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%
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\usepackage{fontspec}
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\setmainfont{Open Dyslexic}
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%
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\title{Trigonometry: ArcTan pi/2}
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\begin{document}
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\begin{tikzpicture}[background rectangle/.style={fill=white},show background rectangle]
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%
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\begin{scope}[scale=8]
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\tkzDefPoint(0,0){O}
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\tkzDefPoint(56,0){A}
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\tkzDefPoint(56,7){B}
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\tkzDrawSquare[fill=space](O,A)
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%
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\tkzDrawPolygon[fill=earth, opacity=0.7](O,A,B)
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%
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\tkzDefPoint(56,56){C}
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\tkzDefPointBy[rotation = center O angle {atan(1/8)}](C) \tkzGetPoint{C1}
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\tkzDefPointBy[rotation = center O angle {atan(1/8)}](A) \tkzGetPoint{A1}
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\tkzDrawPolygon[fill=mars, opacity=0.7](O,A1,C1)
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%
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\tkzDefPoint(56,8){D}
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\tkzDefPointBy[rotation = center O angle {atan(1/8)+45}](D) \tkzGetPoint{D1}
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\tkzDefPointBy[rotation = center O angle {45}](A1) \tkzGetPoint{A2}
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\tkzDrawPolygon[fill=dida, opacity=0.7](O,A2,D1)
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%
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\tkzDefPoint(56,32){E}
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\tkzDefPointBy[rotation = center O angle {atan(1/8)+45+atan(1/7)}](E) \tkzGetPoint{E1}
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\tkzDefPointBy[rotation = center O angle {atan(1/7)}](A2) \tkzGetPoint{A3}
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\tkzDrawPolygon[fill=moon, opacity=0.7](O,A3,E1)
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%
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\tkzLabelSegment[black,below=5ex,pos=.5](O,A){\fontsize{299}{300}\selectfont 56}
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\tkzLabelSegment[black,right=5ex,pos=.5](A,B){\fontsize{299}{300}\selectfont 7}
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\tkzLabelSegment[white,above=10ex,pos=.5](O,A1){\fontsize{299}{300}\selectfont 56}
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\tkzLabelSegment[white,right=10ex,pos=.5](A1,C1){\fontsize{299}{300}\selectfont 56}
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\tkzLabelSegment[white,below=10ex,pos=.5](O,A2){\fontsize{299}{300}\selectfont 56}
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\tkzLabelSegment[white,right=10ex,pos=.5](A2,D1){\fontsize{299}{300}\selectfont 8}
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\tkzLabelSegment[white,above=20ex,pos=.5](O,A3){\fontsize{299}{300}\selectfont 56}
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\tkzLabelSegment[black,right=20ex,pos=.6](A3,E1){\fontsize{299}{300}\selectfont 32}
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%
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\node at (28,-3) {\textcolor{black}{\fontsize{299}{300}\selectfont Arctan 1/8 + pi/4 + Arctan 1/7 + Arctan 4/7 = pi/2}};
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\end{scope}
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%
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\end{tikzpicture}
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\end{document}
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