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A sine wave is the graph of y = sin(x). It demonstrates to cyclic nature of the sine function.
a phase shifted sine wave of a different amplitude.
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
The period of an 8000 Hz sine wave is 0.125 milliseconds. (1/8000)
A sine wave is a periodic function and, by suitably adjusting the argument of the sine function, can be made to fit a wide functions with different frequencies.