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Add function graphs
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\documentclass[varwidth=false, border=2pt]{standalone}
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\usepackage{pgfplots}
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\usepackage{tikz}
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\usepackage{nicefrac}
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\pgfplotsset{every axis legend/.append style={
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at={(0,0)},
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anchor=north east}}
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\begin{document}
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\begin{tikzpicture}
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\begin{axis}[
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axis x line=middle,
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axis y line=middle,
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grid = major,
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width=16cm,
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height=8cm,
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grid style={dashed, gray!30},
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xmin= 0, % start the diagram at this x-coordinate
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xmax= 7, % end the diagram at this x-coordinate
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ymin=-1.1, % start the diagram at this y-coordinate
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ymax= 1.1, % end the diagram at this y-coordinate
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xlabel=$x$,
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ylabel=$y$,
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xtick={0,pi/2,pi,1.5*pi,2*pi},
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xticklabels={0,$\frac{\pi}{2}$,$\pi$,$\frac{3 \cdot \pi}{2}$,$2 \pi$},
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legend cell align=left,
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legend pos=south east,
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legend style={draw=none},
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tick align=outside,
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enlargelimits=false]
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% plot the function
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\addplot[domain=0:7, red, ultra thick,samples=1000] {sin(deg(x))};
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\addplot[domain=0:7, blue, ultra thick,dotted,samples=1000] {cos(deg(x))};
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\legend{$\sin(x)$, $\cos(x)$}
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\end{axis}
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\end{tikzpicture}
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\end{document}
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