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Trigonometry, 3rd Edition

Book Description

The third edition of Cynthia Young's Trigonometry brings together all the elements that have allowed instructors and learners to successfully "bridge the gap" between classroom instruction and independent homework by overcoming common learning barriers and building confidence in students' ability to do mathematics. Written in a clear, single voice that speaks to students and mirrors how instructors communicate in lecture, Young's hallmark pedagogy enables students to become independent, successful learners. Varied exercise types and modeling projects keep the learning fresh and motivating. Young continues her tradition of fostering a love for succeeding in mathematics by introducing inquiry-based learning projects in this edition, providing learners an opportunity to master the material with more freedom while reinforcing mathematical skills and intuition.

The seamless integration of Cynthia Young's Trigonometry 3rd edition with WileyPLUS, a research-based, online environment for effective teaching and learning, continues Young's vision of building student confidence in mathematics because it takes the guesswork out of studying by providing them with a clear roadmap: what to do, how to do it, and whether they did it right.

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