season (version 0.3.16)

sinusoid: Plot a Sinusoid

Description

Plots a sinusoid over 0 to 2\(\pi\).

Usage

sinusoid(amplitude, frequency, phase, ...)

Arguments

amplitude

the amplitude of the sinusoid (its maximum value).

frequency

the frequency of the sinusoid in 0 to 2\(\pi\) (number of cycles).

phase

the phase of the sinusoid (location of the peak).

...

additional arguments passed to the plot.

Author

Adrian Barnett

Details

Sinusoidal curves are useful for modelling seasonal data. A sinusoid is plotted using the equation: \(A\cos(ft-P), t=0,\ldots,2 \pi\), where \(A\) is the amplitude, \(f\) is the frequency, \(t\) is time and \(P\) is the phase.

References

Barnett, A.G., Dobson, A.J. (2010) Analysing Seasonal Health Data. Springer.

Examples

sinusoid(amplitude=1, frequency=1, phase=1)