Interactive Demo
Unit Circle to Sine Wave Visualizer
Unit Circle to Sine Wave Visualizer is a free, interactive learning demo from the Precalculus 2e course on Lykke. It helps you build intuition for Unit Circle, Trigonometric Identities, Periodic Graphs, Law of Sines and Cosines. Play with it directly in your browser — it features 4 sliders, 1 button and a live visual canvas. This demo lives in the “Trigonometry and Periodic Functions” section of the course.
How to use this demo
- Drag the “Angle (θ): 0°”, “Amplitude (A): 1.0”, “Frequency (B): 1.0” sliders to change the inputs and watch the result update live.
- Use the “Play Animation” button to trigger actions or reset the demo.
- Experiment freely — there's nothing to break, and every change is reversible.
What you'll explore
- Unit Circle
- Trigonometric Identities
- Periodic Graphs
- Law of Sines and Cosines
Frequently asked questions
What does the Unit Circle to Sine Wave Visualizer demo do?
Unit Circle to Sine Wave Visualizer Rotate the point to see how the y-coordinate maps to the sine wave. Unit Circle to Sine Wave Visualizer lets you explore this hands-on instead of only reading about it.
What Precalculus 2e concept does Unit Circle to Sine Wave Visualizer teach?
Comprehensive coverage of the unit circle, trigonometric identities, and the application of sine and cosine functions to periodic motion. It focuses on Unit Circle, Trigonometric Identities, Periodic Graphs, Law of Sines and Cosines from the “Trigonometry and Periodic Functions” section.
What can I control in Unit Circle to Sine Wave Visualizer?
The “Angle (θ): 0°”, “Amplitude (A): 1.0”, “Frequency (B): 1.0” sliders change the key inputs; the “Play Animation” button run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.
How does Unit Circle to Sine Wave Visualizer fit into the Precalculus 2e course?
OpenStax Precalculus 2e is a comprehensive, peer-reviewed Open Educational Resource (OER) designed to bridge the gap between algebra and calculus. The course provides a rigorous exploration of functions, trigonometry, a… This demo is the interactive piece for the “Trigonometry and Periodic Functions” section. Open the full Precalculus 2e course wiki at https://www.getlykke.com/explore/public/precalculus-2e-197c9158-ecc9-47fe-9183-c80854bf2e26 for notes, flashcards, quizzes and the other demos.
What will I understand better after using Unit Circle to Sine Wave Visualizer?
You'll build intuition for Unit Circle, Trigonometric Identities, Periodic Graphs, Law of Sines and Cosines — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on Precalculus 2e alone.
From the Precalculus 2e course
This interactive demo is part of the Trigonometry and Periodic Functions section. Explore the full Precalculus 2e course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the Precalculus 2e course →