Elementary Trigonometry

by Richard W. Beveridge

Read here Read at LibreTextsPDF

Ancient trigonometry typically used angles and triangles that were embedded in circles so that many of the calculations used were based on the lengths of chords within a circle. The relationships between the lengths of the chords and other lines drawn within a circle and the measure of the corresponding central angle represent the foundation of trigonometry - the relationship between angles and distances.

Description from LibreTexts.

Publisher
Clatsop Community College
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: Right Triangle Trigonometry
  7. 1.1: Measuring Angles
  8. 1.2: The Trigonometric Ratios
  9. 1.3: Solving Triangles
  10. 1.4: Applications
  11. 1.5: More Applications
  12. 2: Graphing the Trigonometric Functions
  13. 2.1: Trigonometric Functions of Non-Acute Angles
  14. 2.2: Graphing Trigonometric Functions
  15. 2.3: The Vertical Shift of a Trigonometric Function
  16. 2.4: Phase Shift
  17. 2.5: Combining the Transformations
  18. 3: Trigonometric Identities and Equations
  19. 3.1: Reciprocal and Pythagorean Identities
  20. 3.2: Double-Angle Identities
  21. 3.3: Trigonometric Equations
  22. 3.4: More Trigonometric Equations
  23. 4: The Law of Sines and The Law of Cosines
  24. 4.1: The Law of Sines
  25. 4.2: The Law of Sines - The Ambiguous Case
  26. 4.3: The Law of Cosines
  27. 4.4: Applications
  28. Back Matter
  29. Index
  30. Glossary
  31. Detailed Licensing