01
The unit circle, piece by piece
Build the circle one idea at a time and see why every point on it is exactly (cos θ, sin θ).
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All courses
MTH 162
Precalculus II
Presents trigonometry, trigonometric applications including Law of Sines and Cosines, and an introduction to conics.
How this course is taught: Video lessons, interactive demos, and the free OpenStax textbook.
How to use this page
- Watch the lesson for the section you are on, in the player below.
- Experiment with the matching interactive demo to build intuition.
- Read and practice that section in the free OpenStax book linked in the outline.
Practice problems: each OpenStax Precalculus 2e section has exercises with answers in the back. The demo checks are for understanding, not a grade.
Lessons
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Course outline
What we cover, and where to read it
Our lessons follow OpenStax Precalculus 2e, a free, peer-reviewed textbook. Each unit below lists its topics and links to the matching chapter so you can read alongside the videos.
Unit 1 · Chapter 5
Trigonometric Functions
- Angles and radian measure
- The unit circle, sine and cosine
- The other trigonometric functions
- Right triangle trigonometry
Unit 2 · Chapter 6
Periodic Functions
- Graphs of sine and cosine
- Graphs of the other trigonometric functions
- Inverse trigonometric functions
Unit 3 · Chapter 7
Trigonometric Identities & Equations
- Verifying trigonometric identities
- Sum, difference, double, and half-angle formulas
- Solving trigonometric equations
Unit 4 · Chapter 8
Further Applications of Trigonometry
- The Law of Sines
- The Law of Cosines
- Vectors
Official grades, submissions, and course announcements live in Canvas. This site hosts public course materials, explanations, examples, and study resources.
Interactive demos
Explore the ideas, hands on
Trigonometry finally clicks when you can turn the crank and watch it move. Each tool walks through the idea first, then hands you the controls. Nothing here is graded, so experiment freely. Not sure how to study this? See Study Strategies. Back to the lessons
02
Sine and cosine, unrolled
Turn the point around the circle and watch its height and width unroll into the sine and cosine waves.
Step 1 · See it
Step 2 · Try it
Step 3 · Quick check
03
The bridge: triangle meets circle
See how SOH-CAH-TOA from a right triangle and the coordinates on the unit circle are the same sine and cosine.
Step 1 · See it
Step 2 · Try it
Step 3 · Quick check
04
The sinusoid transformer
Stretch, squeeze, and slide a wave with y = A·sin(B(x − C)) + D, and watch amplitude, period, phase, and midline respond.
Step 1 · See it
Step 2 · Try it
Step 3 · Quick check
Turn it in
Your practice report
Every quick check above feeds this report: what you got right on the first try, and what you got right eventually. Download it and upload it to Canvas.
MTH practice report · bryantclass.com