Trigonometry, 3rd Edition

Table of contents

1. Coverpage
2. Titlepage
3. Copyright
4. Dedication
5. About the Author
6. Preface
7. Table of Contents
8. 1 Right Triangle Trigonometry
   1. 1.1 Angles, Degrees, and Triangles
   2. 1.2 Similar Triangles
   3. 1.3 Definition 1 of Trigonometric Functions: Right Triangle Ratios
   4. 1.4 Evaluating Trigonometric Functions: Exactly and with Calculators
   5. 1.5 Solving Right Triangles
      1. Inquiry-Based Learning Project
      2. Modeling Our World
      3. Review
      4. Review Exercises
      5. Practice Test
9. 2 Trigonometric Functions
   1. 2.1 Angles in the Cartesian Plane
   2. 2.2 Definition 2 of Trigonometric Functions: The Cartesian Plane
   3. 2.3 Evaluating Trigonometric Functions for Nonacute Angles
   4. 2.4 Basic Trigonometric Identities
      1. Inquiry-Based Learning Project
      2. Modeling Our World
      3. Review
      4. Review Exercises
      5. Practice Test
      6. Cumulative Test
10. 3 Radian Measure and the Unit Circle Approach
    1. 3.1 Radian Measure
    2. 3.2 Arc Length and Area of a Circular Sector
    3. 3.3 Linear and Angular Speeds
    4. 3.4 Definition 3 of Trigonometric Functions: Unit Circle Approach
       1. Inquiry-Based Learning Project
       2. Modeling Our World
       3. Review
       4. Review Exercises
       5. Practice Test
       6. Cumulative Test
11. 4 Graphing Trigonometric Functions
    1. 4.1 Basic Graphs of Sine and Cosine Functions: Amplitude and Period
    2. 4.2 Translations of the Sine and Cosine Functions: Addition of Ordinates
    3. 4.3 Graphs of Tangent, Cotangent, Secant, and Cosecant Functions
       1. Inquiry-Based Learning Project
       2. Modeling Our World
       3. Review
       4. Review Exercises
       5. Practice Test
       6. Cumulative Test
12. 5 Trigonometric Identities
    1. 5.1 Trigonometric Identities
    2. 5.2 Sum and Difference Identities
    3. 5.3 Double-Angle Identities
    4. 5.4 Half-Angle Identities
    5. 5.5 Product-to-Sum and Sum-to-Product Identities
       1. Inquiry-Based Learning Project
       2. Modeling Our World
       3. Review
       4. Review Exercises
       5. Practice Test
       6. Cumulative Test
13. 6 Solving Trigonometric Equations
    1. 6.1 Inverse Trigonometric Functions
    2. 6.2 Solving Trigonometric Equations That Involve Only One Trigonometric Function
    3. 6.3 Solving Trigonometric Equations That Involve Multiple Trigonometric Functions
       1. Inquiry-Based Learning Project
       2. Modeling Our World
       3. Review
       4. Review Exercises
       5. Practice Test
       6. Cumulative Test
14. 7 Applications of Trigonometry: Triangles and Vectors
    1. 7.1 Oblique Triangles and the Law of Sines
    2. 7.2 The Law of Cosines
    3. 7.3 The Area of a Triangle
    4. 7.4 Vectors
    5. 7.5 The Dot Product
       1. Inquiry-Based Learning Project
       2. Modeling Our World
       3. Review
       4. Review Exercises
       5. Practice Test
       6. Cumulative Test
15. 8 Complex Numbers, Polar Coordinates, and Parametric Equations
    1. 8.1 Complex Numbers
    2. 8.2 Polar (Trigonometric) Form of Complex Numbers
    3. 8.3 Products, Quotients, Powers, and Roots of Complex Numbers: De Moivre’s Theorem
    4. 8.4 Polar Equations and Graphs
    5. 8.5 Parametric Equations and Graphs
       1. Inquiry-Based Learning Project
       2. Modeling Our World
       3. Review
       4. Review Exercises
       5. Practice Test
       6. Cumulative Test
16. Appendix A Algebraic Prerequisites and Review
    1. A.1 Factoring Polynomials
    2. A.2 Basic Tools: Cartesian Plane, Distance, and Midpoint
    3. A.3 Graphing Equations: Point-Plotting, Intercepts, and Symmetry
    4. A.4 Functions
    5. A.5 Graphs of Functions; Piecewise-Defined Functions; Increasing and Decreasing Functions; Average Rate of Change
    6. A.6 Graphing Techniques: Transformations
    7. A.7 Operations on Functions and Composition of Functions
    8. A.8 One-to-One Functions and Inverse Functions
       1. Review
       2. Review Exercises
       3. Practice Test
17. Appendix B Conic Sections
    1. B.1 Conic Basics
    2. B.2 The Parabola
    3. B.3 The Ellipse
    4. B.4 The Hyperbola
    5. B.5 Rotation of Axes
    6. B.6 Polar Equations of Conics
       1. Review
       2. Review Exercises
       3. Practice Test
18. Answers to Odd Numbered Exercises
19. Applications Index
20. Subject Index