Contents
Contents
4
Preface
3
Mathematical Conventions
9
Chapter 1 The Unit Circle
11
1.1
Purpose
11
1.2
The Unit Circle
11
1.3
Cartesian Axis System
13
1.4
Angles
14
1.5
Angles – Icosahedron
16
1.6
The Unit Circle
17
1.7
Unit Circle Quadrants
18
1.8
Radians
19
1.9
Projection
21
1.10 The Cosine Function
22
1.11 The Sine Function
23
1.12 Geometric Interpretation of the Tangent
24
1.13 Tangent – Derivation
25
1.14 Conversions as Interpolation
27
1.15 General Conversion
30
Chapter 2 Trigonometry
31
2.1
Trigonometry
31
2.2
Sum of Angles
32
2.3
Pythagoras
34
2.4
Pythagoras Proof
35
2.5
Right Triangle Formulas
37