Course description

Discover how the patterns behind tides, orbits, and other repeating phenomena connect to some of the most important functions in mathematics. Using interactive graphs and a dynamic unit circle, you'll build intuition for trigonometric functions from the ground up. This course starts with periodic functions: reading graphs, identifying period, amplitude, and midline, and predicting future behavior from a repeating pattern. From there, you'll see how circular motion naturally gives rise to sine and cosine, and explore how these functions connect to the geometry of the unit circle and special right triangles like the 45-45-90 and 30-60-90. By the end of this course, you'll be able to measure angles in both degrees and radians, evaluate sine and cosine at any angle on the unit circle, and understand the deep connection between periodic graphs, circular motion, and triangle geometry.