Contents

• Trigonometry - A Review
  • 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 ...