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Plane Trigonometry Syllabus and Course Structure – MATH 1316

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Angles in Standard Position

  • Percorso guidato
    Example 1
    3:59
  • Percorso guidato
    Drawing Angles in Standard Position
    05:50

Complementary and Supplementary Angles

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

Coterminal Angles

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

Pythagorean Theorem & Basics of Triangles

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

Trigonometric Functions on Right Triangles

  • Percorso guidato
    How to Use a Calculator for Trig Functions
    4:45
  • Percorso guidato
    Example 1
    1:37
  • Percorso guidato
    Introduction to Trigonometric Functions
    6:04

Special Right Triangles

  • Percorso guidato
    Common Trig Functions For 45-45-90 Triangles
    3:28
  • Percorso guidato
    30-60-90 Triangles
    5:35
  • Percorso guidato
    45-45-90 Triangles
    04:39

Solving Right Triangles

  • Percorso guidato
    Finding Missing Angles
    5:13
  • Percorso guidato
    Example 1
    4:56
  • Percorso guidato
    Example 2
    3:22

Radians

  • Percorso guidato
    Converting between Degrees & Radians
    5:04

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
    Trig Values in Quadrants II, III, & IV
    5:30
  • Percorso guidato
    Reference Angles on the Unit Circle
    5:31
  • Percorso guidato
    Coterminal Angles on the Unit Circle
    3:47

Reciprocal Trigonometric Functions on the Unit Circle

  • Percorso guidato
    Secant, Cosecant, & Cotangent on the Unit Circle
    3:23

Graphs of the Sine and Cosine Functions

  • Percorso guidato
    Example 1
    02:43
  • Percorso guidato
    Amplitude and Reflection of Sine and Cosine
    5:05
  • Percorso guidato
    Graph of Sine and Cosine Function
    5:53

Phase Shifts

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

Graphs of Secant and Cosecant Functions

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

Graphs of Tangent and Cotangent Functions

  • Percorso guidato
    Example 1
    3:15
  • Percorso guidato
    Example 1
    3:40
  • Percorso guidato
    Introduction to Cotangent Graph
    5:37

Introduction to Trigonometric Identities

  • Percorso guidato
    Simplifying Trig Expressions
    6:36
  • Percorso guidato
    Even and Odd Identities
    06:19
  • Percorso guidato
    Example 4
    5:18

Sum and Difference Identities

  • Percorso guidato
    Example 3
    2:42
  • Percorso guidato
    Verifying Identities with Sum and Difference Formulas
    2:25
  • Percorso guidato
    Example 6
    6:20

Double Angle Identities

  • Percorso guidato
    Example 2
    2:26
  • Percorso guidato
    Example 3
    2:55
  • Percorso guidato
    Example 1
    2:33

Inverse Sine, Cosine, & Tangent

  • Percorso guidato
    Example 2
    1:20
  • Percorso guidato
    Inverse Tangent
    3:17
  • Percorso guidato
    Example 3
    1:25

Linear Trigonometric Equations

  • Percorso guidato
    Introduction to Trig Equations
    4:25
  • Percorso guidato
    Example 2
    2:17
  • Percorso guidato
    How to Solve Linear Trigonometric Equations
    4:34

Solving Trigonometric Equations Using Identities

  • Percorso guidato
    Solve Trig Equations Using Identity Substitutions
    04:42

Law of Sines

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

Law of Cosines

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

Geometric Vectors

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

Vectors in Component Form

  • Percorso guidato
    Finding Magnitude of a Vector Example 1
    02:26
  • Percorso guidato
    Position Vectors & Component Form
    03:55
  • Percorso guidato
    Algebraic Operations on Vectors Example 1
    03:11

Dot Product

  • Percorso guidato
    Introduction to Dot Product
    05:40
  • Percorso guidato
    Find the Angle Between Vectors
    04:33

Polar Coordinate System

  • Percorso guidato
    Intro to Polar Coordinates
    05:32
  • Percorso guidato
    Determining Different Coordinates for the Same Point
    6:02
  • Percorso guidato
    Intro to Polar Coordinates Example 1
    02:13

Convert Points Between Polar and Rectangular Coordinates

  • Percorso guidato
    Convert Points from Rectangular to Polar Example 1
    2:21
  • Percorso guidato
    Convert Points from Rectangular to Polar
    6:58
  • Percorso guidato
    Convert Points from Polar to Rectangular
    06:17

Graphing Parametric Equations

  • Percorso guidato
    Introduction to Parametric Equations
    04:47

Writing Parametric Equations

  • Percorso guidato
    Parameterizing Equations Example 1
    04:26
  • Percorso guidato
    Equations of Circles & Ellipses
    06:03
  • Percorso guidato
    Parameterizing Equations
    08:02