44 lines
1.3 KiB
TeX
44 lines
1.3 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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%
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\title{Trigonometry: ArcTan pi/4}
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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(2,0){A}
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\tkzDefPoint(2,1){B}
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\tkzDrawSquare[fill=space](O,A)
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%
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\tkzDrawPolygon[fill=earth](O,A,B)
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%
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\tkzDefPoint(3,0){C}
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\tkzDefPoint(3,1){D}
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\tkzDefPointBy[rotation = center O angle {atan(1/2)}](C) \tkzGetPoint{C1}
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\tkzDefPointBy[rotation = center O angle {atan(1/2)}](D) \tkzGetPoint{D1}
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%
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\tkzDrawPolygon[fill=mars](O,C1,D1)
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%
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\tkzLabelSegment[black,below=2ex,pos=.5](O,A){\fontsize{17}{18}\selectfont $2$}
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\tkzLabelSegment[black,right=2ex,pos=.5](A,B){\fontsize{17}{18}\selectfont $1$}
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\tkzLabelSegment[black,below=2ex,pos=0.8](O,C1){\fontsize{17}{18}\selectfont $3$}
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\tkzLabelSegment[black,right=2ex,pos=.5](C1,D1){\fontsize{17}{18}\selectfont $1$}
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%
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\node at (0.5,1.5) {\textcolor{white}{\fontsize{17}{18}\selectfont $\arctan \frac{1}{2} + \arctan \frac{1}{3} = \frac{\pi}{4}$}};
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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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