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Index
Cover Page
DeMYSTiFieD® Series
Trigonometry DeMYSTiFieD®, Second Edition
Copyright Page
Dedication Page
About the Author
Contents
Introduction
Part I Origins and Theory
Chapter 1 Angles, Distances, and Triangles
Angles and Distances
Triangles
Trigonometric Triangles
Quiz
Chapter 2 Cartesian Coordinates
How It’s Assembled
Radial Distance of a Point from the Origin
Distance between Two Points
Finding the Midpoint
Quiz
Chapter 3 The Unit-Circle Paradigm
The Unit Circle
Primary Circular Functions
Secondary Circular Functions
Quiz
Chapter 4 Mappings, Relations, Functions, and Inverses
What’s a Mapping?
Types of Mappings
Examples of Relations
Examples of Functions
Inverses of Circular Functions
Graphs of Inverse Circular Functions
Quiz
Chapter 5 Hyperbolic Functions
The “Hyper Six”
Hyperbolic Function Graphs
Hyperbolic Inverses
Hyperbolic Inverse Graphs
Quiz
Chapter 6 Polar Coordinates
The Variables
Three Basic Graphs
Coordinate Transformations
The Navigator’s Way
Quiz
Chapter 7 Three-Space and Vectors
Spatial Coordinates
Vectors in the Cartesian Plane
Vectors in the MPC Plane
Vectors in Three Dimensions
Quiz
Test: Part I
Part II Extensions and Applications
Chapter 8 Scientific Notation
Formatting Methods
Rules for Use
Approximation, Error, and Precedence
Significant Figures
Quiz
Chapter 9 Surveying, Navigation, and Astronomy
Terrestrial Distance Measurement
Interstellar Distance Measurement
Direction Finding and Radiolocation
Quiz
Chapter 10 Electrical Waves and Phase
Alternating Current
Phase Angle
Inductive Reactance
Capacitive Reactance
Quiz
Chapter 11 Geometrical Optics
Reflection
Refraction
Color Dispersion
Quiz
Chapter 12 Trigonometry on a Sphere
The Global Grid
Arcs and Triangles
Global Navigation
Quiz
Chapter 13 The Infinite-Series Paradigm
Repeated Addition
Repeated Multiplication
Limits
Expansion of the Sine
Expansion of the Cosine
Expansion of the Tangent
Quiz
Test: Part II
Final Exam
Answers to Quizzes, Tests, and Final Exam
Appendix: Circular and Hyperbolic Identities
Suggested Additional Reading
Index
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