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Properties of Cosine

Can you recognize some of the properties of a Cosine function using this applet? See if this applet can help you discover solutions for the questions below
As you move the large white point what do you notice happens to the red and orange lines? What does the relationship between the cos(x) and the -cos(x) tell you about cosine? Can you tell if the function is ood or even? What does the Range of the cos(x) function tell you?