Graphikbibliothek – Sammlung
Trigonometrische Funktionen
Lizenz: CC BY-NC-SA 3.0
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% Title: Trigonometrische Funktionen - sin und cos
% Author: Tobias Krähling
% Needs: pstricks, pst-plot, pst-math
% DesignScale: unit=10mm
% Size: 11.6 x 3.0
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{\sbPSTDefault\sffamily
\begin{pspicture}(-4.5,-1.5)(7.1,1.5)
\SpecialCoor
\psaxes[labels=none,ticks=none]{->}(-3,0)(-4.4,-1.4)(-1.6,1.4)
\pscircle(-3,0){1}
\psline(-3,0)(-2.13397,0.5)
\psline[linewidth=1pt,linecolor=sblinemed](-3,0)(-2.13397,0)
\psline[linewidth=1pt,linecolor=sblinehighlight](-3,0)(-3,0.5)
\psline[linestyle=dotted,linecolor=sblinehighlight
](-2.13397,0)(-2.13397,0.5)
\psline[linestyle=dotted,linecolor=sblinemed](-3,0.5)(-2.13397,0.5)
\psaxes[labels=y,subticks=0,Dx=\pstPI2]{->}(0,0)(0,-1.4)(7,1.4)
\uput{7pt}[-90](!PI 0){$\pi$}
\uput{7pt}[-90](!PI 2 div 0){$\frac{1}{2}\pi$}
\uput{7pt}[-90](!PI 2 div 3 mul 0){$\frac{3}{2}\pi$}
\uput{7pt}[-90](!PI 2 mul 0){$2\pi$}
\psplot[linecolor=sblinemed]{0}{6.5}{x COS}
\psplot[linecolor=sblinehighlight]{0}{6.5}{x SIN}
\uput[90](!PI 2 div 1){\textcolor{sblinehighlight}{$\sin x$}}
\uput[-90](!PI -1){\textcolor{sblinemed}{$\cos x$}}
\end{pspicture}
}
Lizenz: CC BY-NC-SA 3.0
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% Title: Trigonometrische Funktionen - tan und cot
% Author: Tobias Krähling
% Needs: pstricks, pst-plot, pst-math
% DesignScale: unit=10mm
% Size: 11.6 x 7.0
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\sbPSTDefault\sffamily
\begin{pspicture}(-4.5,-3.5)(7.1,3.5)
\SpecialCoor
\psaxes[labels=y,subticks=0,Dx=\pstPI2]{->}(0,0)(-4.4,-3.4)(7,3.4)
\psplot[linecolor=sblinemed]{-4.40}{-1.58}{x TAN}
\psplot[linecolor=sblinemed]{-1.57}{ 1.57}{x TAN}
\psplot[linecolor=sblinemed]{ 1.58}{ 4.71}{x TAN}
\psplot[linecolor=sblinemed]{ 4.72}{ 6.50}{x TAN}
\psline[linecolor=sblinemed,linestyle=dashed
](!PI 2 div neg -3.4)(!PI 2 div neg -0.7)
\psline[linecolor=sblinemed,linestyle=dashed
](!PI 2 div neg 0)(!PI 2 div neg 3.4)
\psline[linecolor=sblinemed,linestyle=dashed
](!PI 2 div -3.4)(!PI 2 div -0.7)
\psline[linecolor=sblinemed,linestyle=dashed
](!PI 2 div 0)(!PI 2 div 3.4)
\psline[linecolor=sblinemed,linestyle=dashed
](!PI 2 div 3 mul -3.4)(!PI 2 div 3 mul -0.7)
\psline[linecolor=sblinemed,linestyle=dashed
](!PI 2 div 3 mul 0)(!PI 2 div 3 mul 3.4)
\psplot[linecolor=sblinehighlight]{-4.40}{-3.15}{x COS x SIN div}
\psplot[linecolor=sblinehighlight]{-3.14}{-0.01}{x COS x SIN div}
\psplot[linecolor=sblinehighlight]{ 0.01}{ 3.14}{x COS x SIN div}
\psplot[linecolor=sblinehighlight]{ 3.15}{ 6.28}{x COS x SIN div}
\psplot[linecolor=sblinehighlight]{ 6.29}{ 6.50}{x COS x SIN div}
\psline[linecolor=sblinehighlight,linestyle=dashed
](!PI neg -3.4)(!PI neg -0.7)
\psline[linecolor=sblinehighlight,linestyle=dashed
](!PI neg 0)(!PI neg 3.4)
\psline[linecolor=sblinehighlight,linestyle=dashed
](!PI -3.4)(!PI -0.7)
\psline[linecolor=sblinehighlight,linestyle=dashed
](!PI 0)(!PI 3.4)
\uput[180](6.4,3.0){\textcolor{sblinemed}{ $\tan x$}}
\uput[180](6.4,2.5){\textcolor{sblinehighlight}{$\cot x$}}
\uput{10pt}[-90](!PI neg 0 ){$-\pi$ }
\uput{10pt}[-90](!PI 2 div neg 0 ){$-\frac{1}{2}\pi$}
\uput{10pt}[-90](!PI 2 div 0 ){$\frac{1}{2}\pi$ }
\uput{10pt}[-90](!PI 0 ){$\pi$ }
\uput{10pt}[-90](!PI 2 div 3 mul 0){$\frac{3}{2}\pi$ }
\uput{10pt}[-90](!PI 2 mul 0 ){$2\pi$ }
\end{pspicture}
}
