Elementary Trigonometry

by Michael Corral

Read here Read at LibreTextsPDF

This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra and geometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods (e.g. the secant method for solving trigonometric equations) are discussed. A brief tutorial on using Gnuplot to graph trigonometric functions is included.

Description from LibreTexts.

Publisher
Schoolcraft College
Subjects
Mathematics, Precalculus
Licence
GNU Free Documentation License, as LibreTexts states it
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: Right Triangle Trigonometry Angles
  7. 1.1: Angles
  8. 1.2: Trigonometric Functions of an Acute Angle
  9. 1.3: Applications and Solving Right Triangles
  10. 1.4: Trigonometric Functions of Any Angle
  11. 1.5: Rotations and Reflections of Angles
  12. 1.E: Right Triangle Trigonometry Angles (Exercises)
  13. 2: General Triangles
  14. 2.1: The Law of Sines
  15. 2.2: The Law of Cosines
  16. 2.3: The Law of Tangents
  17. 2.4: The Area of a Triangle
  18. 2.5: Circumscribed and Inscribed Circles
  19. 2.E: General Triangles (Exercises)
  20. 3: Identities
  21. 3.1: Basic Trigonometric Identities
  22. 3.2: Sum and Difference Formulas
  23. 3.3: Double-Angle and Half-Angle Formulas
  24. 3.4: Other Identities
  25. 3.E: Identities (Exercises)
  26. 4: Radian Measure
  27. 4.1: Radians and Degrees
  28. 4.2: Arc Length
  29. 4.3: Area of a Sector
  30. 4.4: Circular Motion- Linear and Angular Speed
  31. 4.E: Radian Measure (Exercises)
  32. 5: Graphing and Inverse Functions
  33. 5.1: Graphing the Trigonometric Functions
  34. 5.2: Properties of Graphs of Trigonometric Functions
  35. 5.3: Inverse Trigonometric Functions
  36. 5.E: Graphing and Inverse Functions (Exercises)
  37. 6: Additional Topics
  38. 6.1: Solving Trigonometric Equations
  39. 6.2: Numerical Methods in Trigonometry
  40. 6.3: Complex Numbers
  41. 6.4: Polar Coordinates
  42. 6.E: Additional Topics (Exercises)
  43. Back Matter
  44. Index
  45. Detailed Licensing