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Trigonometry, 3rd Edition

Book Description

Designed for the one-term course in trigonometry, the Third Edition incorporates all of the many teaching and learning tools that have made Zill's texts a resounding success. A rich pedagogy and an extensive supplements package make this text a must-have resource for students and instructors alike. Zill takes care to include a full set of engaging and motivating features for students, including a wide range of word problems and specific applications, historical accounts of mathematicians, and a strong variety of relevant exercises. These extensive exercises give students the opportunity to test their comprehension, challenge their understanding, and apply their knowledge to real-world situations.

Table of Contents

  1. Cover Page
  2. Title Page
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. 1 – Prerequisites for Trigonometry
    1. 1.1 The Real Number Line
    2. 1.2 The Rectangular Coordinate System
    3. 1.3 Circles and Graphs
    4. 1.4 Equations of Lines
    5. 1.5 Functions and Graphs
    6. 1.6 Symmetry and Transformations
    7. 1.7 Linear and Quadratic Functions
    8. 1.8 Combining Functions
    9. 1.9 Inverse Functions
    10. 1.10 Building a Function from Words
    11. Chapter 1 Review Exercises
  7. 2 – Right Triangle Trigonometry
    1. 2.1 Angles and Their Measure
    2. 2.2 Right Triangle Trigonometry
    3. 2.3 Trigonometric Functions of Special Angles
    4. 2.4 Trigonometric Functions of General Angles
    5. Chapter 2 Review Exercises
  8. 3 – Unit Circle Trigonometry
    1. 3.1 The Circular Functions
    2. 3.2 Graphs of Sine and Cosine Functions
    3. 3.3 Graphs of Other Trigonometric Functions
    4. 3.4 Special Identities
    5. 3.5 Inverse Trigonometric Functions
    6. 3.6 Trigonometric Equations
    7. Chapter 3 Review Exercises
  9. 4 – Applications of Trigonometry
    1. 4.1 Solving Right Triangles
    2. 4.2 Applications of Right Triangles
    3. 4.3 Law of Sines
    4. 4.4 Law of Cosines
    5. 4.5 Simple Harmonic Motion
    6. Chapter 4 Review Exercises
  10. 5 – Complex Numbers and Vectors
    1. 5.1 Complex Numbers
    2. 5.2 Trigonometric Form of Complex Numbers
    3. 5.3 Powers and Roots of Complex Numbers
    4. 5.4 Vectors in the Plane
    5. 5.5 Dot Product
    6. Chapter 5 Review Exercises
  11. 6 – Exponential and Logarithmic Functions
    1. 6.1 Exponential Functions
    2. 6.2 Logarithmic Functions
    3. 6.3 Exponential and Logarithmic Equations
    4. 6.4 Exponential and Logarithmic Models
    5. 6.5 Hyperbolic Functions
    6. Chapter 6 Review Exercises
  12. 7 – Topics in Analytic Geometry
    1. 7.1 The Parabola
    2. 7.2 The Ellipse
    3. 7.3 The Hyperbola
    4. 7.4 Rotation of Axes
    5. 7.5 Parametric Equations
    6. Chapter 7 Review Exercises
  13. 8 – Polar Coordinates
    1. 8.1 Polar Coordinates
    2. 8.2 Graphs of Polar Equations
    3. 8.3 Conic Sections in Polar Coordinates
    4. Chapter 8 Review Exercises
  14. Appendixes
    1. Appendix A - Absolute-Value Equations and Inequalities
    2. Appendix B - Linear and Angular Velocity
    3. Appendix C - Some Challenging Problems in Trigonometry
  15. Answers to Selected Odd-Numbered Problems
  16. Index
  17. Credits