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Precalculus Study Guide: Trigonometric Identities, Equations, and Complex Numbers

Study Guide - Learn with Videos

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Trigonometric Functions on the Unit Circle

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

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

Linear Trigonometric Equations

  • Guided course
    Example 3
    3:29
  • Guided course
    Example 2
    2:17
  • Guided course
    Introduction to Trig Equations
    4:25

Law of Sines

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

Law of Cosines

  • Solving SAS & SSS Triangles
    7:50
  • 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

Polar Form of Complex Numbers

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

Products and Quotients of Complex Numbers

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

Powers of Complex Numbers (DeMoivre's Theorem)

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