# Sine wave

Sine wave, Mathematical curve that describes a smooth repetitive oscillation; continuous wave.

A sine wave or sinusoid is a mathematical curve that describes a smooth periodic oscillation. A sine wave is a continuous wave. It is named after the function sine, of which it is the graph. It occurs often in both pure and applied mathematics, as well as physics, engineering, signal processing and many other fields. Its most basic form as a function of time (t) is: y ( t ) A sin ⁡ ( 2 π f t + φ ) A sin ⁡ ( ω t + φ ) {\displaystyle y(t)A\sin(2\pi ft+\varphi )A\sin(\omega t+\varphi )} where: A, amplitude, the peak deviation of the function from zero.