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Amplitude and Period of Sinusoidal Functions from Equation

Amplitude and Period of Sinusoidal Functions from Equation

The generic equation for a sinusoidal function is:

Generic Sinusoid Equation

Where A represents the amplitude of the oscillation, and f the frequency. Phi is the phase, linked to the amount by which the sinusoid is shifted along the x axis. Omega is the angular frequency, and represents the rate of oscillation as radians per second.

The period of the oscillation, T, is given by:

Period

A commonly found alternative form of the sinusoid is:

Alternative Sinusoid Equation

In this case, the amplitude is calculated as:

Alternative Amplitude

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