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Phase in waves is the fraction of a wave cycle which has elapsed relative to an arbitrary point.^{[1]}
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Formula
The phase of an oscillation or wave refers to a sinusoidal function such as the following:
where A, f, and are constant parameters. These functions are periodic with period , and they are identical except for a displacement of along the axis. The term phase can refer to several different things:
 It can refer to a specified reference, such as , in which case we would say the phase of is , and the phase of is .
 It can refer to , in which case we would say and have the same phase but are relative to different references.
 In the context of communication waveforms, the timevariant angle or its modulo value, is referred to as instantaneous phase, but often just phase. Instantaneous phase has a formal definition that is applicable to more general functions and unambiguously defines a function's initial phase at t=0. Accordingly, it is for and for . (also see phasor)
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