Notice that the changing values of a and b have the same effect that they had on the graphs involving the cosine function. However, as we change the value of k, the amount of rotation of the two graphs appears to change. for the first example where k=1, the rotation is clearly 90 degrees (or radians). For k=2, the rotation appears to be 45 degrees ( radians). As the value of k increases, it appears as though the angle of rotation is shrinking. If we think a bit about our knowledge of trigonometry, we can show that the angle of rotation for each of these graphs is radians or degrees.

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