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en.wikipedia.org/wiki/Sine_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 pure and applied mathematics, as well as physics, engineering, signal processing and many other fields.

www.brightstorm.com/.../find-an-equation-for-the-sine-or-cosine-wave

When finding the equation for a trig function, try to identify if it is a sine or cosine graph. To find the equation of sine waves given the graph, find the amplitude which is half the distance between the maximum and minimum. Next, find the period of the function which is the horizontal distance for the function to repeat.

en.wikipedia.org/wiki/Wave_equation

The wave equation is an important second-order linear partial differential equation for the description of waves—as they occur in classical physics—such as mechanical waves (e.g. water waves, sound waves and seismic waves) or light waves. It arises in fields like acoustics, electromagnetics, and fluid dynamics.

physics.stackexchange.com/.../what-is-the-mathematical-equation-for-a-sine-wave

What is the mathematical equation for a sine wave? [closed] Ask Question 3 \$\begingroup\$ (Guitar player and programmer here, don't know much about math. So go easy ;) ). I recently learned that an audio sine wave is called that way because it is of the shape of the graph of a sine function. So (correct me if I'm wrong), the equation for a sine ...

betterexplained.com/articles/intuitive-understanding-of-sine-waves

Intuitive Understanding of Sine Waves. ... slows down, stops, and speeds up again. It's the enchanting smoothness in liquid dancing (human sine wave at 0:12 and 0:23, natural bounce at :47). Unfortunately, textbooks don't show sine with animations or dancing. ... The differential equation. We've described sine's behavior with specific equations ...

dsp.stackexchange.com/questions/3428/time-in-sine-wave-equation

The sine wave or sinusoid is a mathematical function that describes a smooth repetitive oscillation. The formula for the Sine wave is, A = Amplitude of the Wave ω = the angular frequency, specifies how many oscillations occur in a unit time interval, in radians per second φ, the phase, t = ? Here ω, is the angular frequency i.e ,

www.animations.physics.unsw.edu.au/jw/travelling_sine_wave.htm

Sine waves are also widespread and important. Further, any wave can be written as a sum of sine waves. Which is strong motivation to study the travelling sine wave in some detail. First, let's write the sine wave in terms x', the coordinate moving with the wave.

www.electronics-tutorials.ws/accircuits/sinusoidal-waveform.html

This type of waveform is called a sine wave because it is based on the trigonometric sine function used in mathematics, ( x(t) = Amax.sinθ ). When dealing with sine waves in the time domain and especially current related sine waves the unit of measurement used along the horizontal axis of the waveform can be either time, degrees or radians.

legacy.earlham.edu/~tobeyfo/musictechnology/2_SineWaveMath_edit.html

We can glean from this patcher the essence of the sine wave equation: Another way to write this, substituting the more familiar degree symbols for radians, is: In this equation, “f” is the frequency in “cycles per second.” Thus, f = 5 cps means the point goes around the circle 5 times every second.