Trigonometry

by Ted Sundstrom & Steven Schlicker

Read here Read at LibreTextsPDF

This trigonometry textbook this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged. Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior mathematical work that is necessary for the new section.

Description from LibreTexts.

Publisher
Grand Valley State University
Subjects
Mathematics, Precalculus
Licence
CC BY-NC-SA 3.0, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: The Trigonometric Functions
  7. 1.1: The Unit Circle
  8. 1.2: The Cosine and Sine Functions
  9. 1.3: Arcs, Angles, and Calculators
  10. 1.4: Velocity and Angular Velocity
  11. 1.5: Common Arcs and Reference Arcs
  12. 1.6: Other Trigonometric Functions
  13. 1.E: The Trigonometric Functions (Exercises)
  14. 2: Graphs of the Trigonometric Functions
  15. 2.1: Graphs of the Cosine and Sine Functions
  16. 2.2: Graphs of Sinusoidal Functions
  17. 2.3: Applications and Modeling with Sinusoidal Functions
  18. 2.4: Graphs of the Other Trigonometric Functions
  19. 2.5: Inverse Trignometric Functions
  20. 2.6: Solving Trigonmetric Equations
  21. 2.E: Graphs of the Trigonometric Functions (Exercises)
  22. 3: Triangles and Vectors
  23. 3.1: Trigonometric Functions of Angles
  24. 3.2: Right Triangles
  25. 3.3: Triangles that are Not Right Triangles
  26. 3.4: Applications of Triangle Trigonometry
  27. 3.5: Vectors from a Geometric Point of View
  28. 3.6: Vectors from an Algebraic Point of View
  29. 3.E: Triangles and Vectors (Exercises)
  30. 4: Trigonometric Identities and Equations
  31. 4.1: Trigonometric Identities
  32. 4.2: Trigonometric Equations
  33. 4.3: Sum and Difference Identities
  34. 4.4: Double and Half Angle Identities
  35. 4.5: Sum-Product Identities
  36. 4.E: Trigonometric Identities and Equations (Exercises)
  37. 5: Complex Numbers and Polar Coordinates
  38. 5.1: The Complex Number System
  39. 5.2: The Trigonometric Form of a Complex Number
  40. 5.3: DeMoivre’s Theorem and Powers of Complex Numbers
  41. 5.4: The Polar Coordinate System
  42. 5.E: Complex Numbers and Polar Coordinates (Exercises)
  43. 6: Some Geometric Facts about Triangles and Parallelograms
  44. 7: Answers for the Progress Checks
  45. Back Matter
  46. Index
  47. Glossary
  48. Detailed Licensing