Trigonometry

Table of Contents

• Measuring Angles

  • What is a Radian?
  • Convert angles in degrees to radians

• The Unit Circle

  • Coordinates of Points on the Unit Circle
  • Unraveling the Circle
  • Unwrapping the Unit Circle
  • Practice Special Angles on Unit Circle (just angles)
  • Practice Special Angles/Sine/Cosine on Unit Circle

• Transforming the Sine and Cosine Functions

  • Location of a point on a circle
  • Sine and Cosine Exploration-Transformations
  • Period and Frequency
  • Modeling Using The Sine Function
  • Transforming the Sine Function
  • Tidal Data
  • Monthly Average Temperature Data
  • Trig Transformations Practice
  • Finding b and c

• The Other Trig Functions

  • Six Basic Trig Functions in the Unit Circle
  • The Six Trig Functions
  • Graphs of reciprocal trig functions from basic functions

• Inverse Trig Functions

  • Restricting Domains
  • Visualising Inverse Functions!
  • Trig Inverse Functions
  • How Far Can You See?

• Law of Cosines

  • Explore Law of Cosines
  • Explore Law of Cosines - SSS
  • Developing the Law of Cosines

• Law of Sines

  • Law of Sines 1.1
  • Ambiguous Case for the Law of Sines

• Extra Material

  • Unit Circle
  • Unit Circle
  • Ferris Wheel Problem
  • Sine and Cosine Exploration-Transformations
  • Graph of the Sine Function
  • Trig graphs from the unit circle
  • Basic Trig graph- radians
  • Transforming the Sine Function