Table of Contents
P. Algebraic Prerequisites
P.1 The Cartesian Coordinate System
P.2 Functions
P.3 Families of Functions, Transformations, and Symmetry
P.4 Compositions and Inverses
Chapter P Highlights
Chapter P Review Exercises
Chapter P Test
1. Angles and the Trigonometric Functions
1.1 Angles and Degree Measure
1.2 Radian Measure, Arc Length, and Area
1.3 Angular and Linear Velocity
1.4 The Trigonometric Functions
1.5 Right Triangle Trigonometry
1.6 The Fundamental Identity and Reference Angles
Chapter 1 Highlights
Chapter 1 Review Exercises
Chapter 1 Test
2. Graphs of the Trigonometric Functions
2.1 The Unit Circle and Graphing
2.2 The General Sine Wave
2.3 Graphs of the Secant and Cosecant Functions
2.4 Graphs of the Tangent and Cotangent Functions
2.5 Combining Functions
Chapter 2 Highlights
Chapter 2 Review Exercises
Chapter 2 Test
Tying it all Together
3. Trigonometric Identities
3.1 Basic Identities
3.2 Verifying Identities
3.3 Sum and Difference Identities for Cosine
3.4 Sum and Difference Identities for Sine and Tangent
3.5 Double-Angle and Half-Angle Identities
3.6 Product and Sum Identities
Chapter 3 Highlights
Chapter 3 Review Exercises
Chapter 3 Test
Tying it all Together
4. Solving Conditional Trigonometric Equations
4.1 The Inverse Trigonometric Functions
4.2 Basic Sine, Cosine, and Tangent Equations
4.3 Multiple-Angle Equations
4.4 Trigonometric Equations of Quadratic Type
Chapter 4 Highlights
Chapter 4 Review Exercises
Chapter 4 Test
Tying it all Together
5. Applications of Trigonometry
5.1 The Law of Sines
5.2 The Law of Cosines
5.3 Area of a Triangle
5.4 Vectors
5.5 Applications of Vectors
Chapter 5 Highlights
Chapter 5 Review Exercises
Chapter 5 Test
Tying it all Together
6. Complex Numbers, Polar Coordinates, and Parametric Equations
6.1 Complex Numbers
6.2 Trigonometric Form of Complex Numbers
6.3 Powers and Roots of Complex Numbers
6.4 Polar Equations
6.5 Parametric Equations
Chapter 6 Highlights
Chapter 6 Review Exercises
Chapter 6 Test
Tying it all Together
Appendix A: Solutions to Try This Exercise
Appendix B: More Thinking Outside the Box
Answers to All Exercises
