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Trigonometry: Core Concepts, Functions, and Applications – Study Notes

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Trigonometric Functions on Right Triangles

  • Guided course
    How to Use a Calculator for Trig Functions
    4:45
  • Guided course
    Example 1
    1:37
  • Guided course
    Introduction to Trigonometric Functions
    6:04

Special Right Triangles

  • Guided course
    Common Trig Functions For 45-45-90 Triangles
    3:28
  • Guided course
    30-60-90 Triangles
    5:35
  • Guided course
    45-45-90 Triangles
    04:39

Solving Right Triangles

  • Guided course
    Finding Missing Angles
    5:13
  • Guided course
    Example 1
    4:56
  • Guided course
    Example 2
    3:22

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
    Trig Values in Quadrants II, III, & IV
    5:30
  • Guided course
    Reference Angles on the Unit Circle
    5:31
  • Guided course
    Coterminal Angles on the Unit Circle
    3:47

Graphs of the Sine and Cosine Functions

  • Guided course
    Example 1
    02:43
  • Guided course
    Amplitude and Reflection of Sine and Cosine
    5:05
  • Guided course
    Graph of Sine and Cosine Function
    5:53

Graphs of Secant and Cosecant Functions

  • Guided course
    Graphs of Secant and Cosecant Functions
    6:22

Graphs of Tangent and Cotangent Functions

  • Guided course
    Example 1
    3:15
  • Guided course
    Example 1
    3:40
  • Guided course
    Introduction to Cotangent Graph
    5:37

Sum and Difference Identities

  • Guided course
    Example 3
    2:42
  • Guided course
    Verifying Identities with Sum and Difference Formulas
    2:25
  • Guided course
    Example 6
    6:20

Double Angle Identities

  • Guided course
    Example 2
    2:26
  • Guided course
    Example 3
    2:55
  • Guided course
    Example 1
    2:33

Inverse Sine, Cosine, & Tangent

  • Guided course
    Example 2
    1:20
  • Guided course
    Inverse Tangent
    3:17
  • Guided course
    Example 3
    1:25

Linear Trigonometric Equations

  • Guided course
    Introduction to Trig Equations
    4:25
  • Guided course
    Example 2
    2:17
  • Guided course
    How to Solve Linear Trigonometric Equations
    4:34

Law of Sines

  • Guided course
    Example 1
    4:02
  • Guided course
    Solving SAA & ASA Triangles
    7:23
  • Guided course
    Solving SSA Triangles ("Ambiguous" Case)
    9:50

Law of Cosines

  • Guided course
    Intro to Law of Cosines
    4:35
  • Guided course
    Solving SAS & SSS Triangles
    7:50

Area of SAS & ASA Triangles

  • Guided course
    Calculating Area of ASA Triangles
    4:30
  • Guided course
    Example 1
    5:30
  • Guided course
    Calculating Area of SAS Triangles
    4:02

Powers of Complex Numbers (DeMoivre's Theorem)

  • Guided course
    Complex Roots
    07:37
  • Guided course
    Complex Roots Example 1
    07:55
  • Guided course
    Powers Of Complex Numbers In Polar Form (DeMoivre's Theorem)
    03:41

Polar Coordinate System

  • Guided course
    Intro to Polar Coordinates
    05:32
  • Guided course
    Determining Different Coordinates for the Same Point
    6:02
  • Guided course
    Intro to Polar Coordinates Example 1
    02:13

Graphing Parametric Equations

  • Guided course
    Introduction to Parametric Equations
    04:47