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
27
1.15 Conversion from degrees to radians
28
1.16 Conversion from radians to degrees
29
1.17 Conversions as interpolation
30
Chapter 2 Trigonometry
35
2.1
Trigonometry
35
2.2
Sum of Angles
36
2.3
Pythagoras
38