a. Express 5 sin 2 x 2 cos 2 x in the form a + b

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a. Express 5 sin2 x – 2 cos2 x in the form a + b sin2 x.

b. State the range of the function f(x) = 5 sin2 x – 2 cos2 x for 0 ≤ x ≤ 2π.

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