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Precalculus Trigonometry: Course Structure, Topics, and Key Concepts (MATH 110 Syllabus Study Guide)

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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

Cofunctions of Complementary Angles

  • Using Cofunction Identities to Solve Equations
    4:42
  • Cofunction Identities
    6:30

Solving Right Triangles

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

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

Graphs of the Sine and Cosine Functions

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

Phase Shifts

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

Inverse Sine, Cosine, & Tangent

  • Guided course
    Inverse Tangent
    3:17
  • Guided course
    Example 1
    1:08
  • Guided course
    Example 3
    1:25

Introduction to Trigonometric Identities

  • Guided course
    Simplifying Trig Expressions
    6:36
  • Guided course
    Example 1
    2:20
  • Guided course
    Example 4
    5:18

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

Solving Trigonometric Equations Using Identities

  • Guided course
    Solve Trig Equations Using Identity Substitutions
    4:42

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

Area of SAS & ASA Triangles

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