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MAC 1114 Trigonometry Syllabus and Course Outcomes Study Guide

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Angles in Standard Position

  • Percorso guidato
    Drawing Angles in Standard Position
    5:50
  • Percorso guidato
    Example 1
    3:59

Coterminal Angles

  • Percorso guidato
    Example 1
    3:51
  • Percorso guidato
    Coterminal Angles
    04:46

Radians

  • Percorso guidato
    Converting between Degrees & Radians
    5:04

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

Special Right Triangles

  • Percorso guidato
    45-45-90 Triangles
    04:39
  • Percorso guidato
    Common Trig Functions For 30-60-90 Triangles
    6:24
  • Percorso guidato
    30-60-90 Triangles
    5:35

Solving Right Triangles

  • Percorso guidato
    Finding Missing Side Lengths
    4:18
  • Percorso guidato
    Example 2
    3:22
  • Percorso guidato
    Finding Missing Angles
    5:13

Defining the Unit Circle

  • Percorso guidato
    Introduction to the Unit Circle
    06:11

Trigonometric Functions on the Unit Circle

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

Common Values of Sine, Cosine, & Tangent

  • Percorso guidato
    Example 1
    6:04
  • Percorso guidato
    Sine, Cosine, & Tangent of 30°, 45°, & 60°
    5:08

Reference Angles

  • Percorso guidato
    Reference Angles on the Unit Circle
    5:31
  • Percorso guidato
    Coterminal Angles on the Unit Circle
    3:47
  • Percorso guidato
    Example 1
    3:03

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

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

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

Solving Trigonometric Equations Using Identities

  • Percorso guidato
    Solve Trig Equations Using Identity Substitutions
    4:42

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

Convert Points Between Polar and Rectangular Coordinates

  • Percorso guidato
    Convert Points from Rectangular to Polar Example 1
    2:21
  • Percorso guidato
    Convert Points from Polar to Rectangular
    6:17
  • Percorso guidato
    Convert Points from Rectangular to Polar
    6:58

Convert Equations Between Polar and Rectangular Forms

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

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

Graphing Complex Numbers

  • Percorso guidato
    How To Plot Complex Numbers
    03:47

Polar Form of Complex Numbers

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

Products and Quotients of Complex Numbers

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

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

Vectors in Component Form

  • Percorso guidato
    Finding Magnitude of a Vector Example 1
    02:26
  • Percorso guidato
    Algebraic Operations on Vectors Example 1
    03:11
  • Percorso guidato
    Position Vectors & Component Form Example 1
    01:36

Direction of a Vector

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

Unit Vectors and i & j Notation

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

Dot Product

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

Cross Product

  • Percorso guidato
    Computing the Cross Product
    5:21