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Comprehensive Trigonometry Final Exam Review – Study Guide

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Study Guide - Learn with Videos

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Angles in Standard Position

  • Guided course
    Example 1
    3:59
  • Guided course
    Drawing Angles in Standard Position
    05:50

Coterminal Angles

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

Radians

  • Guided course
    Converting between Degrees & Radians
    5:04

Trigonometric Functions on Right Triangles

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

Solving Right Triangles

  • Guided course
    Finding Missing Angles
    5:13
  • Guided course
    Example 1
    4:56
  • Guided course
    Example 2
    3:22

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

Reciprocal Trigonometric Functions on the Unit Circle

  • Guided course
    Secant, Cosecant, & Cotangent on the Unit Circle
    3:23

Graphs of the Sine and Cosine Functions

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

Phase Shifts

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

Graphs of Secant and Cosecant Functions

  • Guided course
    Graphs of Secant and Cosecant Functions
    6:22

Graphs of Tangent and Cotangent Functions

  • Guided course
    Example 1
    3:15
  • Guided course
    Example 1
    3:40
  • Guided course
    Introduction to Cotangent Graph
    5:37

Introduction to Trigonometric Identities

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

Sum and Difference Identities

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

Double Angle Identities

  • Guided course
    Example 2
    2:26
  • Guided course
    Example 3
    2:55
  • Guided course
    Example 1
    2:33

Inverse Sine, Cosine, & Tangent

  • Guided course
    Example 2
    1:20
  • Guided course
    Inverse Tangent
    3:17
  • Guided course
    Example 3
    1:25

Linear Trigonometric Equations

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

Solving Trigonometric Equations Using Identities

  • Guided course
    Solve Trig Equations Using Identity Substitutions
    04:42

Law of Sines

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

Law of Cosines

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

Area of SAS & ASA Triangles

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

Complex Numbers

  • Guided course
    Adding and Subtracting Complex Numbers
    3:18
  • Guided course
    Multiplying Complex Numbers
    5:02
  • Guided course
    Dividing Complex Numbers
    4:22

Graphing Complex Numbers

  • Guided course
    How To Plot Complex Numbers
    03:47

Polar Form of Complex Numbers

  • Guided course
    Converting Complex Numbers from Polar to Rectangular Form
    03:58
  • Guided course
    Complex Numbers In Polar Form
    04:47

Polar Coordinate System

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

Convert Points Between Polar and Rectangular Coordinates

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

Convert Equations Between Polar and Rectangular Forms

  • Guided course
    Convert Equations from Rectangular to Polar
    3:37
  • Guided course
    Convert Equations from Polar to Rectangular Example 2
    3:03
  • Guided course
    Convert Equations from Polar to Rectangular
    6:50

Graphing Other Common Polar Equations

  • Guided course
    Lemniscates
    02:33
  • Guided course
    Introduction to Common Polar Equations
    3:47
  • Guided course
    Limacons
    3:19

Geometric Vectors

  • Guided course
    Multiplying Vectors By Scalars Example 1
    03:12
  • Guided course
    Multiplying Vectors By Scalars
    05:05
  • Guided course
    Adding Vectors Geometrically
    05:29

Vectors in Component Form

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

Direction of a Vector

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

Dot Product

  • Guided course
    Introduction to Dot Product
    05:40
  • Guided course
    Find the Angle Between Vectors
    04:33