Worldwide Trigonometry

Meghan DeWitt




Worldwide Trigonometry

Worldwide Trigonometry
Meghan DeWitt

eISBN-13: # 978-0-9885572-6-0
ISBN-13: # 978-0-9885572-7-7
# Pages

Digital PDF | 9.95
Print BW | $29.95


Trigonometry is an ancient mathematical art. It has been studied by civilizations as far back as the ancient Sumerians. Today, it’s used by astronomers, pilots, engineers, and in so many more situations that you will learn about in Worldwide Trigonometry.

Professor DeWitt’s book is set up to make sense to students. In each chapter, they are first introduced to a real life application of the topic they are about to learn. As each topic is taught, students are presented with graph images, examples, and easy to follow proofs. Each chapter is divided into subchapters, each with their own set of problems for students to test their knowledge as they learn. Finally, at the end of each chapter is a series of exercises that combine all topics learned in that section of the book.

Our textbook comes in two forms: print, or digital. The digital version is especially convenient; you will be able to download the book right after purchase and begin learning. One more thing that you’ll notice is the price. We strive to keep our textbooks as affordable as possible, which means you’ll be able to start learning Trigonometry for under $10.

This book will teach you how to use trigonometry. The conversational nature of the text, paired with the rigor of the ideas, will prepare students to pass any trigonometry exam, and prepare them to take on more mathematics later on.



0 Algebraic Review
0.1 Number Systems
0.2 Fractions
0.3 Exponents
0.4 Factoring and Solving Equations
0.5 Exercises

1 Introduction to Trigonometry
1.1 Astronomy{The Parallax Principle
1.2 Introduction to Angles
1.2.1 The Pythagorean Theorem
1.3 The Six Trigonometric Functions
1.4 The Unit Circle
1.5 Geometry Review
1.6 Exercises

2 Circular Motion
2.1 Airplane Flight Paths
2.2 Circular Motion
2.3 Motion Along a Circular Path
2.4 Exercises

3 Graphs of the Trigonometric Functions
3.1 Mechanical Music Creation
3.2 Basic Graphs
3.2.1 Sine
3.2.2 Cosine
3.3 Graphs: Secant and Cosecant
3.3.1 Secant
3.4 Graphs: Tangent and Cotangent
3.4.1 Cotangent
3.5 Exercises

4 Polar Graphs
4.1 Movements of the Planets
4.2 Basic Graphs
4.3 Basic Graphs
4.4 Flowers
4.5 Exercises

5 Inverse Trigonometry
5.1 Orienteering
5.2 Introduction to Inverse Functions
5.3 The Inverse Trigonometric Functions
5.4 Inverse Trigonometry o the Circle
5.5 Exercises

6 Verifying Identities
6.1 Fact Checking
6.2 Derivation of the Identities
6.3 Verifying Identities
6.4 Exercises

7 Solving Equations
7.1 Modeling
7.2 Introduction to Solve Problems
7.3 Type I
7.4 Type II
7.5 Type III
7.6 Exercises

8 Vectors and the Laws of Sines and Cosines
8.1 Solving Crimes
8.2 The Laws of Sines and Cosines
8.3 Introduction to Vectors
8.4 Working in Components
8.5 Working in Pictures
8.6 Exercises

9 Complex Numbers
9.1 Signal Processing/Electrical Engineering
9.2 Introduction to Complex Numbers
9.3 Basic Operations
9.4 Polar Form
9.5 DeMoivre's Formula
9.6 Derivation of the Sum and Di erence Identities [Supplementary Material]
9.7 Exercises

10 Answers to Selected Exercises




- Text contains basic topics in trigonometry, as well as some more advanced topics including complex numbers.

- Concise, rigorous definitions, theorems, and proofs.

- Easy-to-follow writing that puts the student’s comprehension first.

- Each chapter includes discussions of real-world applications for trigonometry.

- Hyperlinked table of contents and index

- Over 40 exercises for each section, with odd-numbered exercise solutions included

- PDF format, compatible with all computers, tablets, and mobile devices

- Low cost in electronic or print form



Meghan DeWitt

Meghan DeWitt received her Ph.D. in mathematics from the University of Wisconsin – Madison in 2011 for research on the inverse Galois problem over function fields. She is currently an Assistant Professor of Mathematics at St. Thomas Aquinas College, having taught undergraduate mathematics at the University of Central Oklahoma and Brigham Young University.