Contents

• Preface and Acknowledgements
  • How To Use This Document
  • Acknowledgements
• Opening Comments
  • The Topic in a Nutshell
  • Historical View of Trigonometry
• Introductory Terminology
  • What is an angle exactly?
• Conversion Between Degrees and Radians
  • Exercises in conversion
    • Exercise
    • Exercise
    • Exercise
    • Exercise
• Defining the Trig Functions
  • Right Triangles
  • Definitions of the Trig Functions
• Trig Values for Special Acute Angles
  • 30°- 60°- 90° and 45°- 45°- 90° Triangles
  • Values of the Trigonometric Functions
    • Trig Functions For
    • Trig Functions For
    • Trig Functions For
  • Summary of Results Above
• Trig Functions of Angles Lying on the Axes
• Trig Functions of Any Angle - The Generalization
  • Reference Angles
    • Examples - Reference Angle
  • The Generalization
  • Examples of More Trig Values
    • Trig Values of 150°
    • Trig Values of -120°
    • Trig Values of 675°
    • A Different View
  • Exercises
    • Exercise
    • Exercise
    • Exercise
    • Exercise
    • Exercise
    • Exercise
    • Exercise
• Graphs of the Trigonometric Functions
  • Last-Minute Comments Before Seeing The Pictures
  • The Graphs of sin x and cos x
  • Amplitude
  • Vertical Shifts or Translations
  • Horizontal Translations
  • Horizontal ``Stretching''
  • Summary Statement on Graphing Sine and Cosine Functions
    • Graphing a Complicated Sine Function
  • Graphing Exercises
    • Exercise
    • Exercise
    • Exercise
    • Exercise
  • Graphs of the Other Four Trigonometric Functions
• Identities Involving Trigonometric Functions
  • Identities Following From The Definitions
  • Thank You, Pythagoras
  • Additional Trigonometric Identities
  • Usages of Trigonometric Identities
    • Determining The Exact Value of
    • Determining The Exact Value of
• Applications
  • Heights/Lengths of Objects
    • Estimating the Height of a Building
  • Other Distances
  • Harmonic Motion
    • Average Temperature
• About this document ...