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MATH 122: Trigonometry and Precalculus – Syllabus and Study Guide

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Trigonometric Functions on Right Triangles

  • Percorso guidato
    Introduction to Inverse Trig Functions
    4:28
  • Percorso guidato
    Fundamental Trigonometric Identities
    5:32
  • Percorso guidato
    Introduction to Trigonometric Functions
    6:04

Trigonometric Functions on the Unit Circle

  • Percorso guidato
    Sine, Cosine, & Tangent on the Unit Circle
    6:34

Graphs of the Sine and Cosine Functions

  • Percorso guidato
    Amplitude and Reflection of Sine and Cosine
    5:05
  • Percorso guidato
    Example 1
    2:18
  • Percorso guidato
    Graph of Sine and Cosine Function
    5:53

Graphs of Tangent and Cotangent Functions

  • Percorso guidato
    Introduction to Cotangent Graph
    5:37
  • Percorso guidato
    Example 1
    3:40
  • Percorso guidato
    Introduction to Tangent Graph
    5:43

Graphs of Secant and Cosecant Functions

  • Percorso guidato
    Graphs of Secant and Cosecant Functions
    6:22

Phase Shifts

  • Percorso guidato
    Phase Shifts
    6:31
  • Percorso guidato
    Example 1
    3:42

Inverse Sine, Cosine, & Tangent

  • Percorso guidato
    Inverse Tangent
    3:17
  • Percorso guidato
    Example 1
    1:08
  • Percorso guidato
    Example 3
    1:25

Linear Trigonometric Equations

  • Percorso guidato
    Example 3
    3:29
  • Percorso guidato
    Example 2
    2:17
  • Percorso guidato
    Introduction to Trig Equations
    4:25

Introduction to Trigonometric Identities

  • Percorso guidato
    Simplifying Trig Expressions
    6:36
  • Percorso guidato
    Example 1
    2:20
  • Percorso guidato
    Example 4
    5:18

Sum and Difference Identities

  • Percorso guidato
    Sum and Difference of Tangent
    4:47
  • Percorso guidato
    Sum and Difference of Sine & Cosine Example 3
    2:42
  • Percorso guidato
    Sum and Difference of Sine & Cosine
    06:14

Double Angle Identities

  • Percorso guidato
    Double Angle Identities
    5:06
  • Percorso guidato
    Double Angle Identities Example 1
    2:33
  • Percorso guidato
    Double Angle Identities Example 2
    2:26

Law of Sines

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

Law of Cosines

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

Area of SAS & ASA Triangles

  • Percorso guidato
    Calculating Area of SAS Triangles Example 1
    5:30
  • Percorso guidato
    Calculating Area of ASA Triangles
    4:30
  • Percorso guidato
    Calculating Area of SAS Triangles
    4:02

Polar Coordinate System

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

Graphing Other Common Polar Equations

  • Percorso guidato
    Lemniscates
    02:33
  • Percorso guidato
    Introduction to Common Polar Equations
    3:47
  • Percorso guidato
    Limacons Example 2
    2:52

Powers of Complex Numbers (DeMoivre's Theorem)

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

Geometric Vectors

  • Percorso guidato
    Multiplying Vectors By Scalars
    05:05
  • Percorso guidato
    Multiplying Vectors By Scalars Example 1
    03:12
  • Percorso guidato
    Adding Vectors Geometrically
    05:29

Dot Product

  • Percorso guidato
    Introduction to Dot Product
    5:40
  • Percorso guidato
    Find the Angle Between Vectors
    04:33

Two Variable Systems of Linear Equations

  • Percorso guidato
    Example 2
    3:31
  • Percorso guidato
    Solving Systems of Equations - Elimination
    6:48
  • Percorso guidato
    Introduction to Systems of Linear Equations
    4:27

Introduction to Matrices

  • Percorso guidato
    Example 1
    13:06
  • Percorso guidato
    Example 2
    11:24
  • Percorso guidato
    Introduction to Matrices
    4:35