Sinusoidal Function

Definition

A sinusoidal function is a mathematical function that models periodic phenomena, such as waves or oscillations. It can be represented by the equation y = A sin(Bx + C) + D, where A represents the amplitude, B represents the frequency or period, C represents the phase shift, and D represents the vertical shift.

Related terms

Amplitude: The amplitude of a sinusoidal function refers to half of the vertical distance between its maximum and minimum values. It measures how high or low the graph reaches from its midline.

Period: The period of a sinusoidal function is the horizontal length it takes for one complete cycle or repetition of its pattern. It determines how frequently or often the graph repeats itself.

Phase Shift: The phase shift of a sinusoidal function indicates how much it has been horizontally shifted to either left or right from its original position on an x-axis. It affects where and when the graph starts within one period.