Unit circle Cosine wave

Unit circle Cosine wave

thingiverse

As you can see from the extended sine and cosine graphs, each curve repeats itself regularly. This trait is called "periodicity", because there is a "period" over which the curve repeats itself over and over. The length of the period for the sine and cosine curves is clearly 2π: "once around" a circle. Also, each of sine and cosine vary back and forth between –1 and +1. The curves go one unit above and below their midlines (here, the x-axis). This value of "1" is called the "amplitude". When you graph, don't try to plot loads of points. Note that the cosine is at y = 1 when x = 0 and 2π; at y = 0 for x = π/2 and 3π/2, and at y = –1 for x = π. Plot these five "interesting" points, and then fill in the curve.

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