i. Sketch, on a single diagram, the graphs of y = cos 2 and ii. Write down

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i. Sketch, on a single diagram, the graphs of y = cos 2θ and

ii. Write down the number of roots of the equation 2cos2θ − 1 = 0 in the interval 0 ≤ θ≤ 2π.
iii. Deduce the number of roots of the equation 2cos2θ − 1 = 0 in the interval 10π  ≤ θ ≤ 20π.

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