The function f is such that f(x) = 2 sin 2 x 3cos 2 x for

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The function f is such that f(x) = 2 sin2x − 3cos2x for 0 ≤ x ≤ π.

i. Express f(x) in the form a + b cos2x, stating the values of a and b.

ii. State the greatest and least values of f(x).

iii. Solve the equation f(x) + 1 = 0.

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