Superposition: waves add point by point
Two sine waves of equal frequency are plotted alongside their sum as the phase offset sweeps continuously from 0 to 2π. The animation highlights how the resultant amplitude oscillates between full constructive reinforcement (2A) and complete destructive cancellation (0), linking the visual pattern to the sum-to-product identity. A noise-cancelling headphone example grounds the math in a real application, making it useful for trigonometry and physics students studying wave superposition.
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The prompt that made it
Two sine waves and their sum; as the phase difference sweeps from 0 to pi to 2 pi the sum goes from constructive (amplitude 2) to destructive (0) and back, with the sum-to-product identity and the noise-cancelling example.
Make the next one in this series
- Show interference of two waves with different amplitudes and frequencies
- Animate beat frequency formation from two nearly equal frequency waves
- Visualize standing waves formed by two counter-propagating waves
