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Precalculus Study Notes: Trigonometric Functions, Unit Circle, and Graph Transformations

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Angles in Standard Position

  • Guided course
    Drawing Angles in Standard Position
    5:50
  • Guided course
    Example 1
    3:59

Coterminal Angles

  • Guided course
    Example 1
    3:51
  • Guided course
    Coterminal Angles
    04:46

Radians

  • Guided course
    Converting between Degrees & Radians
    5:04

Trigonometric Functions on Right Triangles

  • Guided course
    Introduction to Inverse Trig Functions
    4:28
  • Guided course
    Fundamental Trigonometric Identities
    5:32
  • Guided course
    Introduction to Trigonometric Functions
    6:04

Special Right Triangles

  • Guided course
    45-45-90 Triangles
    04:39
  • Guided course
    Common Trig Functions For 30-60-90 Triangles
    6:24
  • Guided course
    30-60-90 Triangles
    5:35

Solving Right Triangles

  • Guided course
    Finding Missing Side Lengths
    4:18
  • Guided course
    Example 2
    3:22
  • Guided course
    Finding Missing Angles
    5:13

Defining the Unit Circle

  • Guided course
    Introduction to the Unit Circle
    06:11

Trigonometric Functions on the Unit Circle

  • Guided course
    Sine, Cosine, & Tangent on the Unit Circle
    6:34

Common Values of Sine, Cosine, & Tangent

  • Guided course
    Example 1
    6:04
  • Guided course
    Sine, Cosine, & Tangent of 30°, 45°, & 60°
    5:08

Reference Angles

  • Guided course
    Reference Angles on the Unit Circle
    5:31
  • Guided course
    Coterminal Angles on the Unit Circle
    3:47
  • Guided course
    Example 1
    3:03

Graphs of the Sine and Cosine Functions

  • Guided course
    Amplitude and Reflection of Sine and Cosine
    5:05
  • Guided course
    Example 1
    2:18
  • Guided course
    Graph of Sine and Cosine Function
    5:53

Phase Shifts

  • Guided course
    Phase Shifts
    6:31
  • Guided course
    Example 1
    3:42

Introduction to Trigonometric Identities

  • Guided course
    Simplifying Trig Expressions
    6:36
  • Guided course
    Example 1
    2:20
  • Guided course
    Example 4
    5:18

Sum and Difference Identities

  • Guided course
    Sum and Difference of Tangent
    4:47
  • Guided course
    Sum and Difference of Sine & Cosine Example 3
    2:42
  • Guided course
    Sum and Difference of Sine & Cosine
    06:14

Double Angle Identities

  • Guided course
    Double Angle Identities
    5:06
  • Guided course
    Double Angle Identities Example 1
    2:33
  • Guided course
    Double Angle Identities Example 2
    2:26

Solving Trigonometric Equations Using Identities

  • Guided course
    Solve Trig Equations Using Identity Substitutions
    4:42