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Trigonometric functions: Add

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Martin Thoma 2019-01-19 14:35:45 +01:00
parent 2062dc279b
commit 787362193c
4 changed files with 121 additions and 0 deletions

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SOURCE = trigonomatric-functions
DELAY = 80
DENSITY = 300
WIDTH = 500
make:
pdflatex $(SOURCE).tex -output-format=pdf
make clean
clean:
rm -rf $(TARGET) *.class *.html *.log *.aux
gif:
pdfcrop $(SOURCE).pdf
convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
make clean
png:
make
make svg
inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
transparentGif:
convert $(SOURCE).pdf -transparent white result.gif
make clean
svg:
#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
pdf2svg $(SOURCE).pdf $(SOURCE).svg
# Necessary, as pdf2svg does not always create valid svgs:
inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

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Compiled example
----------------
![Example](trigonomatric-functions.png)

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\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}
\usepackage{tikz}
\usepackage{tkz-euclide}
\usetkzobj{all}
\usetikzlibrary{shapes, calc, decorations}
\usepackage{amsmath,amssymb}
\usepackage{helvet}
\usepackage[eulergreek]{sansmath}
\begin{document}
\begin{preview}
\begin{tikzpicture}[very thick,font=\sansmath\sffamily,scale=2]
\newcommand\anglePoint{40}
\tkzDefPoint(0,0){O}
\tkzDefPoint(1,0){D}
\tkzDefPoint(0,1){E}
\tkzDefPoint(1,1){up}
\tkzDefPoint({cos(\anglePoint * 0.0174533),0}){C}
\tkzDefPoint(0,{sin(\anglePoint * 0.0174533)}){S}
\tkzDefPoint(\anglePoint:1){P}
% Axes
\draw[gray] (O) circle (1);
\node[gray,below right] at (1,0) {1};
\node[blue,left] at (\anglePoint/2:1) {b};
\node[gray,above right] at (0,1) {1};
\node[gray,below right] at (-1,0) {-1};
\node[gray,above right] at (0,-1) {-1};
\draw[gray,->] (-1.2, 0) -- (1.2,0);
\draw[gray,->] (0,-1.2) -- (0,1.2);
% \node[circle,fill=black,inner sep=0pt,minimum size=3pt,label=left:{$C_1$}] (C1) at (0,0) {};
\tkzLabelPoints[below right,font=\sansmath\sffamily](O)
\tkzLabelPoints[above right,font=\sansmath\sffamily](D)
\tkzLabelPoints[above left,font=\sansmath\sffamily](E)
\tkzLabelPoints[above,font=\sansmath\sffamily](P)
\tkzLabelPoints[below,font=\sansmath\sffamily](C)
\tkzLabelPoints[left,font=\sansmath\sffamily](S)
\draw[red] (0,0) -- (\anglePoint:1);
\tkzInterLL(O,P)(E,up)
\tkzGetPoint{K}
\tkzInterLL(O,P)(D,up)
\tkzGetPoint{T}
\tkzLabelPoints[below right,font=\sansmath\sffamily](T)
\tkzLabelPoints[below right,font=\sansmath\sffamily](K)
\draw (S) -- (P);
\draw (C) -- (P);
\draw (E) -- (K);
\draw (D) -- (T);
\draw ({\anglePoint+180}:1.2) -- (\anglePoint:1.8);
\tkzMarkAngle[color=blue,arc=l,size=1cm,line width=1.5pt](D,O,P)
\tkzDrawPoints[size=2,fill=black](C, D, E, S, T, K, P)
% \tkzLabelPoints[below right,font=\sansmath\sffamily](B)
% \tkzLabelPoints[above,font=\sansmath\sffamily](C)
% % Draw polygon
% \tkzDrawPolygon[thick,fill=gray!10](A,B,C)
% % Mark angles
% \tkzMarkAngle[arc=l,size=0.6cm,fill=red!30](B,A,C)
% \tkzLabelAngle[pos=0.3](B,A,C){$\alpha$}
% \tkzMarkAngle[arc=l,size=0.6cm,fill=blue!30](C,B,A)
% \tkzLabelAngle[pos=0.4](C,B,A){$\beta$}
% \tkzMarkAngle[arc=l,size=0.6cm,fill=blue!30](A,C,B)
% \tkzLabelAngle[pos=0.4](A,C,B){$\gamma$}
% % Label lines
% \tkzLabelSegment[below](A,B){$c$}
% \tkzLabelSegment[left](A,C){$b$}
% \tkzLabelSegment[right](B,C){$a$}
% % Draw polygon
% \tkzDrawPolygon[thick](A,B,C)
% \tkzDrawSegments[very thick,red](A,B A,C)
\end{tikzpicture}
\end{preview}
\end{document}