Course curriculum

  • 1

    Introduction To Trigonometry

    • Introduction To Right Triangle Trigonometry

    • Example Number 1: Ladder Problem

    • Example Number 2: Tree Shadow Problem

    • Example Number 3: Guy Wire Problem
  • 2

    Angles and Their Measure

    • Anatomy Of An Angle

    • Radian Measure

    • Degree Measure

    • An Observation about the Sine and Cosine

    • A Redefinition of the Sine and Cosine

    • Derivation of a Pythagorean Identity

    • Example: Finding the SIne of Pi/3
  • 3

    Construction of the Unit Circle

    • What is the sin(45) and cos(45)?

    • What are the sin(30) and cos(30)?

    • Initial Recap

    • Some Terminology we will use in Constructing the Unit Circle
  • 4

    Graphing Sine and Cosine Functions

    • Graphing the Sine Curve

    • Summarizing the Major Landmarks of the Sine Function Graph

    • Summarizing the Major Landmarks of the Cosine Function Graph
  • 5

    Graphing Trigonometric Functions ( The Naive View)

    • Graphing a Sine Function Example 1 (Naive View)

    • Graphing a Cosine Function Example 1 (Naive View)
  • 6

    Graphing Trigonometric Functions (Special Points View)

    • Introduction to the Systematic Graphing of Sines and Cosines with an Introductory Example

    • Graphing a Cosine Function with the Systematic Approach: Example 1

    • Introduction of Systematic Graphing of Sines and Cosines Incorporating Phase Shifts and Vertical Shifts

    • Graphing a Cosine with the Systematic Approach Example 2

    • Graphing a Sine with the Systematic Approach Example 2
  • 7

    Graphing the Reciprocal Functions: The secant(x), the cosecant(x), and the tan(x)

    • A Review of the Funtion f(x) = 1/x with a particular view to prepare for the sec(x), csc(x), and tan(x) functions

    • The Graph of the Cosecant Function

    • The Graph of The Secant Function

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