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Amplitude is the height from the mean, or rest, value of the function to its maximum or minimum. The period is the distance required for the function to complete one full cycle. For the sine function, the amplitude is given by and the period is defined as. The same is true for a cosine function.
We can say the period is the distance between corresponding points on the curve. For example the distance between the consecutive peaks on the curve. We know from our work earlier with amplitude that maximum value of the sine and cosine graph is 1. We also know that and . The next input which produces a value of 1 is for sine and 2p for cosine. Thus the period for sine is and for cosine .