Trigonometric Addition Formulas
by Anonymous
Add two angles on the unit circle to verify the addition and double-angle formulas, then merge two waves into a single sine.
About this app
An interactive trigonometry lesson that visualizes angle addition formulas on the unit circle. Explore how sin(α+β) is built from sinα·cosβ and cosα·sinβ, derive the double-angle identity by setting both angles equal, and combine a·sin and b·cos into one shifted sine wave.
Use cases
- High school students studying trigonometric identities
- Teachers demonstrating angle addition formulas
- Learners exploring double-angle formulas visually
- Students connecting trigonometry with wave functions
Features
- Interactive α and β controls for visualizing sin(α+β)
- Double-angle view showing sin 2θ = 2·sinθ·cosθ
- Wave synthesis view combining a·sin and b·cos
- Displays resulting amplitude √(a²+b²) and phase shift
- Guided missions with reset and next controls