a) Sketch, on the same diagram, the graphs of y = 2cos x and y = cos

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a) Sketch, on the same diagram, the graphs of y = 2cos x and y = cos² x for −360° ≤ x ≤ 360°.

b) State the number of solutions of the equation 2cos x = cos² x for −360° ≤ x ≤ 360°.

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