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Consider the graph of the cosine function shown below.

a. Find the period and amplitude of the cosine function

b. At what values of θ for 0 ≤ θ ≤ π 2 do the maximum value(s), minimum values(s), and zeros occur?

1 Answer

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a. The amplitude should be 2.

The period should be 2\pi.

b. maximum value occurs in (0,1) at x = 0

minimum value occurs in (pi,-1) at x = pi

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