Trigonometry

Written by: Ted Sundstrom and Steven Schlicker (Grand Valley State University)

Written by Grand Valley State University professors Ted Sundstrom and Steven Schlicker, this trigonometry textbook starts with a circular function approach to trigonometry and transitions to the study of triangle trigonometry, vectors, trigonomic identities, and complex numbers.

Each chapter begins with a series of “focus questions” for students to have a goal as they study the material. Progress checks throughout each section help students ensure they are understanding the material as they progress through the text. Additionally, an answer key helps ensure self-study students are able to correctly complete the practice problems.

Table of Contents for Trigonometry

Note to Students
Preface
1. The Trigonometric Functions
1.1 The Unit Circle
1.2 The Cosine and Sine Functions
1.3 Arcs, Angles, and Calculators
1.4 Velocity and Angular Velocity
1.5 Common Arcs and Reference Arcs
1.6 Other Trigonometric Functions
2. Graphs of the Trigonometric Functions
2.1 Graphs of the Cosine and Sine Functions
2.2 Graphs of Sinusoidal Functions
2.3 Applications and Modeling with Sinusoidal Functions
2.4 Graphs of the Other Trigonometric Functions
2.5 Inverse Trignometric Functions
2.6 Solving Trigonmetric Equations
3. Triangles and Vectors
3.1 Trigonometric Functions of Angles
3.2 Right Triangles
3.3 Triangles that Are Not Right Triangles
3.4 Applications of Triangle Trigonometry
3.5 Vectors from a Geometric Point of View
3.6 Vectors from an Algebraic Point of View
4. Trigonometric Identities and Equations
4.1 Trigonometric Identities
4.2 Trigonometric Equations
4.3 Sum and Difference Identities
4.4 Double and Half Angle Identities
4.5 Sum-Product Identities
5. Complex Numbers and Polar Coordinates
5.1 The Complex Number System
5.2 The Trigonometric Form of a Complex Number
5.3 DeMoivre’s Theorem and Powers of Complex Numbers
5.4 The Polar Coordinate System
A Answers for the Progress Checks
B Answers and Hints for Selected Exercises
C Some Geometric Facts about Triangles and Parallelograms
Index

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