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Precalculus Study Guide: Triangles, Polar Coordinates, Vectors, Complex Numbers, and Conic Sections

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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

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 Points Between Polar and Rectangular Coordinates

  • Guided course
    Convert Points from Rectangular to Polar Example 1
    2:21
  • Guided course
    Convert Points from Polar to Rectangular
    6:17
  • Guided course
    Convert Points from Rectangular to Polar
    6:58

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

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

Unit Vectors and i & j Notation

  • Guided course
    Unit Vector in the Direction of a Given Vector Example 1
    02:17
  • Guided course
    i & j Notation
    06:01
  • Guided course
    Unit Vector in the Direction of a Given Vector Example 2
    05:21

Direction of a Vector

  • Guided course
    Finding Direction of a Vector Example 1
    04:19
  • Guided course
    Finding Direction of a Vector
    05:13
  • Guided course
    Finding Components from Direction and Magnitude
    04:55

Dot Product

  • Guided course
    Introduction to Dot Product
    5:40
  • Guided course
    Find the Angle Between Vectors
    04:33

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

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

Hyperbolas NOT at the Origin

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

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