Textbook

Analytic Trigonometry with Applications, 10th Edition

Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Dave Sobecki

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Now in its 10th edition, Analytic Trigonometry is a book that students can actually read, understand, and enjoy. To gain student interest quickly, the text moves directly into trigonometric concepts and applications and reviews essential material from prerequisite courses only as needed. Almost every concept is illustrated by an example followed by a matching problem to encourage an active involvement in the learning process, and concept development proceeds from the concrete to the abstract. Extensive chapter review summaries, chapter and cumulative review exercises with answers keyed to the corresponding text sections, effective use of color comments and annotations, and prominent displays of important material all help the student master the subject. Analytic Trigonometry, 10e includes updated applications from a range of different fields to convince even the most skeptical student that trigonometry is really useful.

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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.

New To This Edition

Additional new applications that are relevant and interesting
Annotated solution steps of the completely worked examples, making the text even more accessible to students
Hundreds of new exercises have been added, including many that require a verbal explanation
WileyPLUS: An online graded homework, course management and tutorial system gives students immediate feedback on their homework, saves instructors grading and course administration time, and walks students through the material step-by-step.

Hallmark Features

Wide variety of applications- Most sections contain applied exercises from astronomy, physics, engineering, and the life sciences. There are a sufficient variety and number of up-to-date applications distributed through-out the text to convince the most skeptical students that mathematics is really useful.
Contains over 180 numbered worked examples, many with lettered parts, which significantly increases the total number of worked examples. Each concept is illustrated with one or more examples, and following each example is a PARALLEL or "MATCHED" problem with an answer near the end of the section so that a student can immediately check his or understanding of a concept.
There are over 3,000 carefully selected and graded problems. These are divided into A, B, and C levels of difficulty in each exercise set.
Optional graphing utility activities are included in appropriate places in the book. These include brief discussions in the text, examples or portions of examples solved on a graphing utility, and problems for the student to solve.
Explore-Discuss boxes interspersed in every section at appropriate places to encourage a student to think about a relationship or process before a result is stated or to investigate additional consequences of a development in the text.
Group activities are included at the end of every chapter and involve a number of the concepts discussed in the chapter.
Every section contains Internet Connections.
All graphs in the text are computer generated to insure mathematical accuracy. Graphing utility screens displayed in the text are actual output from a graphing calculator.
Each chapter has a concise summary of key terms and formulas and a comprehensive review exercise.