a. Express 7 sin 2 x + 4 cos 2 x in the form a + b

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a. Express 7 sin2x + 4 cos2x in the form a + b sin2x.

b. State the range of the function f(x) = 7 sin2 x + 4 cos2x, for the domain 0 ≤ x ≤ 2π.

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