Math 121- Plane Trigonometry

by Vismar Jay Alfaro

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This textbook, prepared through LibreTexts, has been developed to support the course Math 121: Plane Trigonometry at USTP–Jasaan. It is designed to provide students with a structured, comprehensive, and engaging resource that aligns with the official course outcomes and weekly schedule.

Description from LibreTexts.

Publisher
University of Science and Technology of Southern Philippines- Jasaan
Subjects
Mathematics
Licence
Mixed licences (each page states its own), 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: ABOUT THIS BOOK
  7. 2: ANGLES AND THEIR MEASUREMENT
  8. 2.1: Angles
  9. 2.1.1: Angles (Exercises)
  10. 3: THE TRIGONOMETRIC FUNCTIONS
  11. 3.1: Unit Circle
  12. 3.1.1: Unit Circle (Exercises)
  13. 3.2: Right Triangle Trigonometry
  14. 3.2.1: Right Triangle Trigonometry (Exercises)
  15. 3.3: The Other Trigonometric Functions
  16. 3.3.1: The Other Trigonometric Functions (Exercises)
  17. 4: GRAPHS OF TRIGONOMETRIC FUNCTIONS
  18. 4.1: Graphs of the Sine and Cosine Functions
  19. 4.1.1: Graphs of the Sine and Cosine Functions (Exercises)
  20. 4.2: Graphs of the Other Trigonometric Functions
  21. 4.2.1: Graphs of the Other Trigonometric Functions (Exercises)
  22. 5: TRIGONOMETRIC IDENTITIES AND EQUATIONS
  23. 5.1: Prelude to Trigonometric Identities and Equations
  24. 5.2: Solving Trigonometric Equations with Identities
  25. 5.2.1: Solving Trigonometric Equations with Identities (Exercises)
  26. 5.3: Sum and Difference Identities
  27. 5.3.1: Sum and Difference Identities (Exercises)
  28. 5.4: Double-Angle, Half-Angle, and Reduction Formulas
  29. 5.4.1: Double-Angle, Half-Angle, and Reduction Formulas (Exercises)
  30. 5.5: Sum-to-Product and Product-to-Sum Formulas
  31. 5.5.1: Sum-to-Product and Product-to-Sum Formulas (Exercises)
  32. 5.6: Solving Trigonometric Equations
  33. 5.6.1: Solving Trigonometric Equations (Exercises)
  34. 6: THE INVERSE TRIGONOMETRIC FUNCTION
  35. 6.1: Inverse Trigonometric Functions
  36. 6.1.1: Inverse Trigonometric Functions (Exercises)
  37. 7: OBLIQUE TRIANGLES AND VECTORS
  38. 7.1: Non-right Triangles - Law of Sines
  39. 7.1.1: Non-right Triangles - Law of Sines (Exercises)
  40. 7.2: Non-right Triangles - Law of Cosines
  41. 7.2.1: Non-right Triangles - Law of Cosines (Exercises)
  42. 7.3: Vectors
  43. 7.3.1: Vectors (Exercises)
  44. 8: COMPLEX NUMBERS AND TRIGONOMETRY
  45. 8.1: The Complex Number System
  46. 8.2: The Trigonometric Form of a Complex Number
  47. 8.3: DeMoivre’s Theorem and Powers of Complex Numbers
  48. 9: POLAR COORDINATES AND PARAMETRIC EQUATION
  49. 9.1: Polar Coordinates
  50. 9.1.1: Polar Coordinates (Exercises)
  51. 9.2: Polar Coordinates - Graphs
  52. 9.2.1: Polar Coordinates - Graphs (Exercises)
  53. 9.3: Polar Form of Complex Numbers
  54. 9.3.1: Polar Form of Complex Numbers (Exercises)
  55. 9.4: Parametric Equations
  56. 9.4.1: Parametric Equations (Exercises)
  57. 9.5: Parametric Equations- Graphs
  58. 9.5.1: Parametric Equations- Graphs (Exercises)
  59. Back Matter
  60. About the Author
  61. Index
  62. Glossary
  63. Detailed Licensing