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Trigonometry with Analytic Geometry: Course Structure and Key Topics Overview

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Complex Numbers

  • Guided course
    Introduction to Complex Numbers
    03:31
  • Guided course
    Dividing Complex Numbers
    04:22
  • Guided course
    Complex Conjugates
    05:33

Angles in Standard Position

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

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

Solving Right Triangles

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

Law of Sines

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

Law of Cosines

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

Geometric Vectors

  • Guided course
    Multiplying Vectors By Scalars
    05:05
  • Guided course
    Multiplying Vectors By Scalars Example 1
    03:12
  • Guided course
    Adding Vectors Geometrically
    05:29

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

Introduction to Trigonometric Identities

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

Solving Trigonometric Equations Using Identities

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

Defining the Unit Circle

  • Guided course
    Introduction to the Unit Circle
    06:11

Introduction to Conic Sections

  • Guided course
    Geometries from Conic Sections
    3:08

Circles

  • Guided course
    Circles in Standard Form
    5:18
  • Guided course
    Circles in General Form
    06:20
  • Guided course
    Circles in Standard Form Example 1
    03:40

Parabolas

  • Guided course
    Parabolas as Conic Sections
    05:33
  • Guided course
    Horizontal Parabolas
    05:28
  • Guided course
    Parabolas as Conic Sections Example 1
    07:12

Ellipses: Standard Form

  • Guided course
    Graph Ellipses at Origin
    05:12
  • Guided course
    Graph Ellipses NOT at Origin
    04:50
  • Guided course
    Foci and Vertices of an Ellipse
    05:30

Hyperbolas at the Origin

  • Guided course
    Graph Hyperbolas at the Origin
    04:20
  • Guided course
    Graphing Hyperbolas at the Origin Example 1
    03:58
  • Guided course
    Introduction to Hyperbolas
    06:15

Hyperbolas NOT at the Origin

  • Guided course
    Graph Hyperbolas NOT at the Origin
    05:59

Introduction to Rational Functions

  • Guided course
    Intro to Rational Functions
    6:04