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+%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}