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Diffstat (limited to 'info/mathtrip/src/unit.tex')
-rw-r--r-- | info/mathtrip/src/unit.tex | 102 |
1 files changed, 102 insertions, 0 deletions
diff --git a/info/mathtrip/src/unit.tex b/info/mathtrip/src/unit.tex new file mode 100644 index 0000000000..210d052b14 --- /dev/null +++ b/info/mathtrip/src/unit.tex @@ -0,0 +1,102 @@ +%This document can be run standalone if few comments +%are removed (at the beginning and the end of it). +%This is useful to check and modify the drawing. +% +%When used as a standalone document, the following options +%are useful: +% tikz to typeset the document with tikz (default) +% inclusion to simply include an image +% +%This document is used to draw the trigonometric circle and the +%rectangular triangle of page 4. +% +%\documentclass[tikz]{article} +%\usepackage{unit} + +%\newcommand\TFourTrigOneScale{0.8} +%\begin{document} + +\ifcase\DrawMethod + %TikZ + \savebox\UnitBox{% + \begin{tikzpicture}[scale=\TFourTrigOneScale] + %Coordinates of the triangle + \coordinate (O) at (0,0); + \coordinate (A) at (0,\pythagheight); + \coordinate (B) at (\pythagwidth,0); + %Coordinate of the center of the trigonometric circle + \coordinate (C) at (\TrigoX,\TrigoY); + %Coordinate of the begining of the mark of the angle in trigonometric circle + %(This point is located on the x axis at the right of the center of the trigonometric + %circle). + \coordinate (M) at (\TrigoX+\RadiusTheta,\TrigoY); + %Coordinate of the letter Theta to describe the angle (the radius is 1cm and the angle + %is 35 degrees) + \coordinate (T) at (\TrigoX+0.7cm,\TrigoY+0.25cm); + %Coordinate of the string "(cos(θ),sin(θ))". The numeric + %values are cos(θ) and sin(θ). + \coordinate (String) at (\TrigoX+.819152cm,\TrigoY+.5735764cm); + %Coordinate of the 4 points (1,0), (0,1) etc. + \coordinate (E) at (\TrigoX+1cm+1.2em,\TrigoY-1.2ex); + \coordinate (N) at (\TrigoX,\TrigoY+1cm+1ex); + \coordinate (W) at (\TrigoX-1cm-1.2em,\TrigoY-1.2ex); + \coordinate (S) at (\TrigoX,\TrigoY-1cm-1.3ex); + % + %Rectangular triangle with origin in (0,0) and sides OA and OB + \draw [thick] (O) -- (A) node[midway,left] {$A$} + -- (B) node[midway,above] {$C$} + -- cycle node[midway,below] {$B$}; + + %Draw the right angle symbol + \draw (O) -- ++ (0, \ranglesize) -- ++ (\ranglesize, 0) -- ++(0,-\ranglesize) -- cycle; + + %Mark the angles + \draw (1.5\ranglesize,1.5\ranglesize) node {$c$}; + %Angle a which is arccos(3/sqrt(3^2+2^2))=33,69 degrees rounded to 34 degrees. + \draw (\pythagwidth-2\ranglesize,0) arc(180:146:2\ranglesize); + %Put the the letter + \draw (\pythagwidth-3\ranglesize,\ranglesize) node {$a$}; + %Now the second angle b 90 - 34 = 56 degrees + \draw (0,\pythagheight-2\ranglesize) arc(270:326:2\ranglesize); + %Put the letter + \draw (1.5\ranglesize,\pythagheight-2.5\ranglesize) node {$b$}; + + %Now the drawing of the trigonometric circle + \draw [decoration={markings,mark=at position 1 with + {\arrow[scale=1.3,>=latex]{>}}},postaction={decorate}] (C) -- ++(\axissize,0); + \draw [decoration={markings,mark=at position 1 with + {\arrow[scale=1.3,>=latex]{>}}},postaction={decorate}] (C) -- ++(-\axissize,0); + \draw [decoration={markings,mark=at position 1 with + {\arrow[scale=1.3,>=latex]{>}}},postaction={decorate}] (C) -- ++(0,-\axissize); + \draw [decoration={markings,mark=at position 1 with + {\arrow[scale=1.3,>=latex]{>}}},postaction={decorate}] (C) -- ++(0,\axissize); + + %The circle + \draw (C) circle(1); + + %The angle Theta of 35 degrees + \draw (C) -- ++(\ThetaAngle:1); + %with its mark + \draw (M) arc(0:\ThetaAngle:\RadiusTheta); + %and then put all the labels + %Theta + \draw (T) node {$\theta$}; + %(cos θ, sin θ) + \draw (String) node[right] {$(\cos\theta,\sin\theta)$}; + %the points of the compass + \draw (E) node [below]{{\footnotesize$(1,0)$}}; + \draw (N) node [above,right]{{\footnotesize$(0,1)$}}; + \draw (W) node [below]{{\footnotesize$(-1,0)$}}; + \draw (S) node [below,right]{{\footnotesize$(-1,0)$}}; + \end{tikzpicture} + } +\or + %Inclusion + \relax +\else + \relax +\fi +%\begin{center} +% \usebox\UnitBox +%\end{center} +%\end{document} |