a. Express 4 sin cos 2 in the form (sin + a) 2 + b. b.

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a. Express 4 sinθ − cos2θin the form (sinθ + a)2 + b.
b. Hence, state the maximum and minimum values of 4sinθ − cos2θ , for the domain 0 ≤ θ ≤ 2π.

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