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Precalculus Course Syllabus and Study Guide: Trigonometry, Polar Coordinates, Complex Numbers, and Analytic Geometry

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Angles in Standard Position

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

Trigonometric Functions on the Unit Circle

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

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

Graphs of Tangent and Cotangent Functions

  • Guided course
    Introduction to Cotangent Graph
    5:37
  • Guided course
    Example 1
    3:40
  • Guided course
    Introduction to Tangent Graph
    5:43

Graphs of Secant and Cosecant Functions

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

Inverse Sine, Cosine, & Tangent

  • Guided course
    Inverse Tangent
    3:17
  • Guided course
    Example 1
    1:08
  • Guided course
    Example 3
    1:25

Solving Trigonometric Equations Using Identities

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

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

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

Polar Coordinate System

  • Guided course
    Determining Different Coordinates for the Same Point Example 2
    3:00
  • Guided course
    Intro to Polar Coordinates Example 1
    2:13
  • Guided course
    Intro to Polar Coordinates
    5:32

Convert Equations Between Polar and Rectangular Forms

  • Guided course
    Convert Equations from Polar to Rectangular
    6:50
  • Guided course
    Convert Equations from Rectangular to Polar Example 1
    3:28
  • Guided course
    Convert Equations from Polar to Rectangular Example 2
    3:03

Graphing Complex Numbers

  • Guided course
    How To Plot Complex Numbers
    03:47

Polar Form of Complex Numbers

  • Guided course
    Converting Complex Numbers from Polar to Rectangular Form
    03:58
  • Guided course
    Complex Numbers In Polar Form
    04:47

Products and Quotients of Complex Numbers

  • Guided course
    Quotients of Complex Numbers in Polar Form
    03:40
  • Guided course
    Products of Complex Numbers in Polar Form
    04:46

Powers of Complex Numbers (DeMoivre's Theorem)

  • Guided course
    Powers Of Complex Numbers In Polar Form (DeMoivre's Theorem) Example 1
    03:05
  • Guided course
    Powers Of Complex Numbers In Polar Form (DeMoivre's Theorem)
    03:41
  • Guided course
    Complex Roots
    07:37

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

Introduction to Conic Sections

  • Guided course
    Geometries from Conic Sections
    3:08

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