**Open Textbook**: Trigonometry by Michael Corral

**Videos**: Mathispower4u Trigonometry by James Sousa

**End-page Formulas**(

*Trig. cheat sheet*):

**[ Trigonometry Definitions and Formulas | source ]**

**Free Graphing Utility: Desmos.com**

**Free CAS: WolframAlfa**

##
**Chapter 1: Right Triangle Trigonometry**

**1.1 Angles:**[

**Assignment 1a : source**]

Video notes: Angle Basics

Video notes: Degrees, Minutes, and Seconds

Video notes: Angle Relationships and Types of Triangles

Video notes: The Pythagorean Theorem

Video notes: Converse of the Pythagorean Theorem

**1.2 Trigonometric Functions:**[

**Assignment 1b : source**]

Video Notes: Introduction to Trigonometric Functions

Video Example: Determine Trigonometric Function Values

Video Example: Trig. Function Values with Hypotenuse Missing

**1.3 Applications:**

**[ Assignment 1c : source ] [ Assignment 1d : source ]**

Video Example: Determine the Length of a Side

Video Example: Perimeter of an Equilateral Triangle

**1.4 Trigonometric Functions of any Angle: [ Assignment 1e : source ]**

Video Examples: Determine the Reference Angle

Video Notes: Introduction to Trig Functions using Angles

**1.5 Rotations and Reflections: [ Assignment 1f : source ]**

###
**Chapter 2: General Triangles**

**2.1 Law of Sines [ Assignment 2a | source ]**

Video: The Law of Sines: The Basics

Video: The Law of Sines: The Ambiguous Case

Example: Solve a Triangle Using the Law of Sines

**2.2 Law of Cosines**

**[ Assignment 2b | source ]**

Video: The Law of Cosines

Example: Application of the Law of Cosines

Example: Determine an Angle given SSS

**2.3 Law of Tangents**

**2.4 Area of a Triangle**

**[ Assignment 2c | source ]**

Example: Determine the Area of a Triangle Using the Sine Function

Example: Area using Heron's Formula

###
**Chapter 3: Identities**

**3.1 Basic Identities [ Assignment 3a | source ]**

Video: Fundamental Identities

Video: Verifying Identities (good using a slightly different method.)

**3.2 Sum and Difference Formulas**

**[ Assignment 3b | source ]**

Video: Sum and Difference Identities for Cosine

Video: Sum and Difference Identities for Sine

Video: Sum and Difference Identities for Tangent

**3.3 Double and Half-Angle Formulas**

**[ Assignment 3c | source ]**

Video: Double Angle Identities

Example: Double Angle Example Given Information

Example: Using the Half Angle Formula (use degrees here)

Example: Using Sine of a Half Angle

###
**Chapter 4: Radian Measure**

**4.1 Radian Measure [ Assignment 4a | source ]**

Lecture: Radian Measure (Great video!)

**4.2 Arc Length**

**[ Assignment 4b | source ]**

Lecture: Arc Length and Area of a Sector

**4.3 Area of a Sector**

**[ Assignment 4c | source ]**

Lecture: Arc Length and Area of a Sector

**4.4 Circular Motion**

**[ Assignment 4d | source ]**

Lecture: Linear Velocity and Angular Velocity

###
**Chapter 5: Graphing and Inverse Functions**

**5.1 Graphing Trigonometric Functions [ Assignment 5a | source ]**

Video Lecture: Graphing the Sine and Cosine Function

Video Lecture: Graphing the Tangent Function

Video Lecture: Graphing Cosecant and Secant

**5.2 Properties of Graphs**

**[ Assignment 5b | source ]**

Video Lecture: Amplitude and period of Sine and Cosine

Video Lecture: Horizontal and Vertical Translations of Sine and Cosine

Video Lecture: Graphing Sine and Cosine with Transformations

**5.3 Inverse Trigonometric Functions**

**[ Assignment 5c | source ]**

Video Lecture: Inverse Functions

Video Lecture: Intro. to Inverse Sine, Cosine, and Tangent

Video Examples: Evaluating Expressions involving the Inverse Trig. Functions

*** *** *** [

**Sample Exam #3 | source**] *** *** ***###
**Chapter 6: Additional Topics**

**6.1 Solving Trigonometric Equations**

[ Assignment 6a | source ]

[ Assignment 6a | source ]

**[ Assignment 6b | source ]**

**[ Assignment 6c | source ]**

Video Lecture: Solving Trigonometric Equations I (

*Excellent introduction! Linear*)

Video Lecture: Solving Trigonometric Equations II (

*Quadratic examples*)

Video Lecture: Solving Trigonometric Equations III (

*Using Identities first, quadratic formula*)

Video Lecture: Solving Trigonometric Equations IV (

*Half and multiple angles*)

**6.2 Numerical Methods in Trigonometry**

**6.3 Complex Numbers**

**[ Assignment 6d | source ]**

Video Lecture: Introduction to Complex Numbers

Video Lecture: Complex Number Operations

Video Lecture: Trigonometric Form of Complex Numbers

Video Lecture: De Moivre's Theorem

Video Lecture: Nth Roots of a Complex Number

**6.4 Polar Coordinates**

**[ Assignment 6e | source ]**

Video Lecture: Introduction to Polar Coordinates

Video Lecture: Converting Polar Equations to Rectangular Equations (sound is bad)

Video Lecture: Graphing Polar Equations Part I

Video Lecture: Graphing Polar Equations Part II

*** *** *** [

**Sample Exam #4 | source**] *** *** ******** Sample Final Exam - coming soon *****

Trigonometry 101 by John Redden is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. ---