Text: Open Educational Resource, free online math book: https://openstax.org/details/books/algebra-and-trigonometry-2e
Please feel free to download a PDF. So if you don't have internet access, you could still read the book.
How to schedule a tutoring appointment with OSS?
How to study?
Use practice exams as a study guide. Start working on the practice exam earlier. Make sure you understand and remember the steps of every problem. If possible, do the practice exam multiple times.
In class: Engage and take notes. Answer questions. Ask questions.
After class: Review the notes. Watch recordings if needed. When you watch the recording, you can control the speed. Stop every step to think through the math. Make sure you understand every in-class example. If you have questions on some steps of the problem, ask Suky. Visit office hours or if you are not available during my office hours - email me to schedule an appointment. Your exam questions are similar to your in-class examples.
After reviewing the notes and formula, do your homework with a pencil. After you finish, use a red pen to make corrections according to the solution. Please please please be honest with yourself. Do not copy the solution with a pencil. I saw many “perfect homework” (also “perfect practice exam”), but low scores on actual exams. We need to know our mistakes and weaknesses so we can improve!!! Mistakes are our teachers!!! Come to ask me if you don’t understand some solution.
Schedule weekly appointments with a tutor (free tutoring service at the lower level of Snyder Academic Center)
Form a study group.
Handouts:
Lecture Recordings YouTube Playlist
Link to all blank notes as Word document files
7.1:
7.3:
Video Lessons
Introduction to Trigonometric Function Using Angles in Standard Position
Determine Trigonometric Function Values using Reference Angles and Reference Triangles.
Determine Trigonometric Function Values using the Unit Circle
Video Examples
Ex: Determine the Quadrant of the Terminal Side of An Angle Given Trig Function Signs
Ex: Determine Trig Function Values Given a Point on the Terminal Side of an Angle
Ex: Sine and Cosine Values Using the Unit Circle - Multiples of 30 degrees
Ex: Sine and Cosine Values Using the Unit Circle - Multiples of 30, 45 degrees
Ex: Sine and Cosine Values Using the Unit Circle - Multiples of pi/6 radians
Ex: Sine and Cosine Values Using the Unit Circle - Multiples of pi/4 radians
Ex: Determining Basic Trig Function Values Using The Unit Circle
7.4:
Video Lessons
Determine Trigonometric Function Values using Reference Angles and Reference Triangles.
Determine Trigonometric Function Values using the Unit Circle
Video Examples
8.1:
Video Lessons
Animation: Graphing the Cosine Function Using the Unit Circle
Properties of Trig Functions: Domain, Range, and Sign in each Quadrant
Animation: Transformations of Sine in the form y = Asin(B(x – D)) + C
Video Examples
8.3:
Video Lessons
Evaluating Expressions and Solving Problems Using Inverse Sine, Cosine, and Tangent
Intro to the Inverse Functions of Cosecant, Secant, and Cotangent
Evaluating Expressions Involving Inverse Cosecant, Secant, and Cotangent
Ex: Evaluate an Inverse Cotangent Expression Using a Calculator
Video Examples
9.2:
Video Lessons
Video Examples
9.3:
Video Lessons
Video Examples
Ex: Simplify and Evaluate a Trig Expression Using a Double Angle Identity
Ex 1: Determine Double Angle Trig Function Values Given Information
Ex 2: Determine Double Angle Trig Function Values Given Information
Ex: Evaluate a Trigonometric Expression Containing an Inverse Trig Function - Double Angle
Ex: Determine a Cosine Function Value Using a Half Angle Identity
Ex: Determine a Sine Function Value Using a Half Angle Identity
Ex: Determine a Tangent Function Value Using a Half Angle Identity
9.4:
Video Lesson: Sum to Product and Product to Sum Identities
9.5:
Video Lessons
Video Examples
10.3 - 10.4:
Video Lessons
Video Examples
Example: Identify 4 Possible Polar Coordinates for a Point Using Degrees
Example: Identify 4 Possible Polar Coordinates for a Point Using Radians
Example: Convert a Point in Rectangular Coordinates to Polar Coordinates Using Degrees
Example: Convert a Point in Rectangular Coordinates to Polar Coordinates Using Radians
Example: Convert a Point in Polar Coordinates to Rectangular Coordinates
Example: Convert an Equation in Polar Form to Rectangular Form
Example: Convert an Equation in Rectangular Form to Polar Form
AI (Chat GPT) answers:
Desmos Links:
Desmos Activity on Transformations
Homework assignments:
Homework assignments:
Go to Canvas and click the corresponding homework links.
You have unlimited attempts for the homework. So you can re-do some homework questions to get a perfect score. You can attempt each problem three times and then the system will generate a new but similar question as many times as necessary.
Down below is a sample homework solution. I strongly recommend that you review class notes and then work on your homework.
If you have trouble with a question, read the solution and follow the steps to work on that question. Save your work on scratch paper so you can study later to prepare for exams.
When you have questions, come to ask me! Cheers! ^o^
Practice exams and solutions: Exam scores
1. Practice exam 1 Solution AI answers Formula sheet ch 7 blank with answers Unit circle blank with answers ch 7 GPT generated questions
2. Practice exam 2 Solution AI answers Formula sheet ch 8 blank with answers
3. Practice exam 3 Solution AI answers Formula sheet ch 9 blank with answers
4. Practice exam 4 Solution AI answers Formula sheet ch 10 blank with answers
5. Practice final exam Solution AI answers Formula sheet final blank with answers
Kahoot game: K7.2 K7.3 K8.1 K8.3 K9.1 K9.2-9.4 K10.1,10.2 K10.8
Acknowledgement: The examples in the worksheets are taken from your textbook and Kevin Mirus' notes. The formula sheets are taken from Paul Dawkins' online math notes. If you find some useful online resources which may be beneficial to the whole class, please let me know. Thank you!!! :-)