Editing Sine wave (section)

==Sinusoid form==
Sine waves of arbitrary phase and amplitude are called ''sinusoids'' and have the general form:<ref>{{Cite web |last=Smith |first=Julius Orion |title=Sinusoids |url=https://ccrma.stanford.edu/~jos/st/Sinusoids.html |access-date=2024-01-05 |website=ccrma.stanford.edu}}</ref>
<math display="block">y(t) = A\sin(\omega t + \varphi) = A\sin(2 \pi f t + \varphi)</math>
where:
* ''<math>A</math>'', ''[[amplitude]]'', the peak deviation of the function from zero.
* <math>t</math>, the [[Real number|real]] [[independent variable]], usually representing [[time]] in [[seconds]].
* <math>\omega</math>, ''[[angular frequency]]'', the rate of change of the function argument in units of [[radians per second]].
* ''<math>f</math>'', ''[[ordinary frequency]]'', the ''[[Real number|number]]'' of oscillations ([[Turn (angle)|cycles]]) that occur each second of time.
* <math>\varphi</math>, ''[[phase (waves)|phase]]'', specifies (in [[radian]]s) where in its cycle the oscillation is at ''t'' = 0.
** When <math>\varphi</math> is non-zero, the entire waveform appears to be shifted backwards in time by the amount <math>\tfrac{\varphi}{\omega}</math> seconds. A negative value represents a delay, and a positive value represents an advance.
** Adding or subtracting <math>2\pi</math> (one cycle) to the phase results in an equivalent wave.