A Circle Turns into a Wave
by Anonymous · ⭐ 0 · 🍴 0
A point on a circle with radius 1 creates sin and cos. See where sin·cos are born on the unit circle, unfold circular motion into wave graphs, and freely change the amplitude and period.
About this app
Spin a point around a radius-1 unit circle and see how its horizontal and vertical coordinates produce cos and sin. Then unroll the circular motion into repeating sine and cosine waves, adjusting the angle to observe their values. A final interactive section lets you change amplitude A and speed factor b to explore how wave height and period change.
Use cases
- High school students learning unit-circle definitions
- Teachers demonstrating the link between circular motion and wave graphs
- Learners practicing sine and cosine values by quadrant
- Exploring amplitude and period in trigonometric functions
Features
- Interactive unit-circle point with adjustable angle
- Visual display of horizontal cos and vertical sin components
- Sin and cos wave views with angle controls
- Mission-based activities covering quadrants, extrema, repetition, and equality
- Adjustable amplitude A and speed factor b
- Displays the relationship period = 360° ÷ b