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MAT 1560 Trigonometry Syllabus and Study Guide Overview

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Basics of Graphing

  • Percorso guidato
    Graphing Intercepts
    4:08
  • Percorso guidato
    Example 1
    2:16
  • Percorso guidato
    Introduction to Graphs & the Coordinate System
    5:10

Functions

  • Percorso guidato
    Introduction to Relations and Functions
    5:20
  • Percorso guidato
    Verifying Equations as Functions
    5:38
  • Percorso guidato
    Finding the Domain of an Equation
    3:43

Transformations

  • Percorso guidato
    Shifting A Functions
    5:34
  • Percorso guidato
    Stretches and Shrinks of Functions
    6:02
  • Percorso guidato
    Graphs of Shifted and Reflected Functions
    4:25

Angles in Standard Position

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

Radians

  • Percorso guidato
    Converting between Degrees & Radians
    5:04

Coterminal Angles

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

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

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

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

Graphs of Secant and Cosecant Functions

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

Phase Shifts

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

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

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

Solving Trigonometric Equations Using Identities

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

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

Cofunctions of Complementary Angles

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

Solving Right Triangles

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

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

Area of SAS & ASA Triangles

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

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

Graphing Other Common Polar Equations

  • Percorso guidato
    Lemniscates
    02:33
  • Percorso guidato
    Introduction to Common Polar Equations
    3:47
  • Percorso guidato
    Limacons
    3:19

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

Convert Equations Between Polar and Rectangular Forms

  • Percorso guidato
    Convert Equations from Rectangular to Polar
    3:37
  • Percorso guidato
    Convert Equations from Polar to Rectangular Example 2
    3:03
  • Percorso guidato
    Convert Equations from Polar to Rectangular
    6:50

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

Dot Product

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