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MAC 1114: Trigonometry Syllabus and Course Overview

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Angles in Standard Position

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

Coterminal Angles

  • Example 1
    3:51
  • Guided course
    Coterminal Angles
    04:46

Complementary and Supplementary Angles

  • Solving Problems with Complementary & Supplementary Angles
    2:28
  • Example 1
    3:04
  • Intro to Complementary & Supplementary Angles
    3:35

Radians

  • Converting between Degrees & Radians
    5:04

Trigonometric Functions on Right Triangles

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

Special Right Triangles

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

Solving Right Triangles

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

Pythagorean Theorem & Basics of Triangles

  • Solving Right Triangles with the Pythagorean Theorem
    5:19
  • Review of Triangles
    4:42

Defining the Unit Circle

  • Guided course
    Introduction to the Unit Circle
    06:11

Trigonometric Functions on the Unit Circle

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

Common Values of Sine, Cosine, & Tangent

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

Reference Angles

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

Vectors in Component Form

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

Dot Product

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

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