Math
Amplitude and period.
Definition
Amplitude is the distance from the midline to the maximum (or minimum) of a trigonometric function. Period is the horizontal length of one complete cycle. For y = A·sin(Bx), the amplitude is |A| and the period is 2π/|B|.
Examples
Real-world.
- 1 y = 3sin(2x) has amplitude 3 and period π
- 2 The height of a Ferris wheel over time can be modeled with amplitude equal to the wheel's radius and period equal to the time for one full rotation
Key Fact
Amplitude = |A|, Period = 2π/|B| for y = A·sin(Bx) or y = A·cos(Bx)