Question: Show that 3/2 2 cos x + cos 2x 3 for all x, and determine those values of x for which the equality

Show that –3/2 ≤ 2 cos x + cos 2x ≤ 3 for all x, and determine those values of x for which the equality holds. Plot the graph of y = 2 cos x + cos 2x for 0 ≤ x ≤ 2π.

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