%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}
\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}
