A sine wave, also known as a sinusoid, is a mathematical function that represents a smooth and periodic oscillation. The term "sine wave" is derived from the word "sine," which is a trigonometric function that describes the ratio of the length of the opposite side to the hypotenuse in a right-angled triangle. The sine wave is named after this function because the shape of the wave matches the graph of the sine function. In mathematics, the sine function is periodic with a period of 2π, meaning it repeats its values in a regular cycle. When graphed, the sine function produces a wave that oscillates between -1 and 1, with a smooth, undulating pattern. This pattern is what we recognize as a sine wave. Sine waves are fundamental to many areas of science and engineering because they are simple yet versatile models for understanding and analyzing oscillatory phenomena. read more >>

A sine wave or sinusoid is a mathematical curve that describes a smooth repetitive oscillation. ... It is named after the function sine, of which it is the graph. It occurs often in pure and applied mathematics, as well as physics, engineering, signal processing and many other fields.read more >>