Learning trigonometry concepts can be a difficult and frustrating process.
The tenth edition of this successful book helps readers gain a strong
understanding of these concepts by discovering how trigonometry is relevant in their lives
through rich applications. It follows a right triangle-first approach and is graphing
optional. Readers will find new and updated applications as well as additional exercises
and solutions. Greater emphasis is also placed on relevant applications more than other
books in the field. All of this will help readers comprehend and retain the material.
Table of Contents
1. Right Triangle Rations
1.1 Angles, Degrees, and Arcs
1.2 Similar Triangles
1.3 Trigonometric Ratios and Right Triangles
1.4 Right Triangle Applications
Chapter 1 Group Activity: A Logistics Problem
Chapter 1 Review
2. Trigonometric Functions
2.1 Degrees and Radians
2.2 Linear and Angular Velocity
2.3 Trigonometric Functions: Unit Circle Approach
2.4 Additional Applications
2.5 Exact Values and Properties of Trigonometric Functions
Chapter 2 Group Activity: Speed of Light in Water
Chapter 2 Review
3. Graphing Trigonometric Functions
3.1 Basic Graphs
3.2 Graphing y=k+A sin Bx and y=K+A cos(Bx+C)
3.4 Additional Applications
3.5 Graphing Combined Forms
3.6 Tangent, Cotangent, Secant, and Cosecant Functions Revisited
Chapter 3 Group Activity: Predator-Prey Analysis Involving Coyotes and Rabbits
Chapter 3 Review
Cumulative Review Exercise, Chapters 1-3
4. Identities
4.1 Fundamental Identities and Their Use
4.2 Verifying Trigonometric Identities
4.3 Sum, Difference, and Cofunction Identities
4.4 Double-Angle and Half-Angle Identities
4.5 Product-Sum and Sum-Product Identities
Chapter 4 Group Activity: From M sin Bt+N cos Bt to A sin(Bt+C)
Chapter 4 Review
5. Inverse Trigonometric Functions; Trigonometric Equations and Inequalities
5.1 Inverse Sine, Cosine, and Tangent Functions
5.2 Inverse Cotangent, Secant, and Cosecant Functions
5.3 Trigonometric Equations: An Algebraic Approach
5.4 Trigonometric Equations and Inequalities: A Graphing Calculator Approach
Chapter 5 Group Activity: sin 1/x=0 and Sin-1 1/x=0
Chapter 5 Review
Cumulative Review Exercise, Chapters 1-5
6. Additional Topics: Triangles and Vectors
6.1 Law of Sines
6.2 Law of Cosines
6.3 Areas of Triangles
6.4 Vectors: Geometrically Defined
6.5 Vectors: Algebraically Defined
6.6 The Dot Product
Chapter 6 Group Activity: The SSA Case and the Law of Cosines
Chapter 6 Review
7. Polar Coordinates; Complex Numbers
7.1 Polar and Rectangular Coordinates
7.2 Sketching Polar Equations
7.3 The Complex Plane
7.4 De Moivre's Theorem and the nth-Root Theorem
Chapter 7 Group Activity: Orbits of Planets
Chapter 7 Review
Cumulative Review Exercises, Chapters 1-7
Appendix A Comments on Numbers
A.1 Real Numbers
A.2 Complex Numbers
A.3 Significant Digits
Appendix B Functions and Inverse Functions
B.1 Functions
B.2 Graphs and Transformations
B.3 Inverse Functions
Appendix C Plane Geometry: Some Useful Facts
C.1 Lines and Angles
C.2 Triangles
C.3 Quadrilaterals
C.4 Circles
Selected Answers
Index
632 pages, Paperback
