Trigonometry
Intermediate

Sinusoidal Function

General sine wave with amplitude A, period 2π/B, phase C, shift D.

Formula

y=Asin⁡(Bx+C)+Dy = A\sin(Bx + C) + D

Variables

AAmplitude
BFrequency factor
CPhase
DVertical shift

Did You Know?

Nearly every wave in nature — sound, light, tides, AC electricity — can be described by a sinusoid.

sinusoidwaveamplitudeperiod