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Prove that 5 cosθ + 3 cos(θ + π/3) + 3 lies between - 4 and 10.

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Prove that

5 cosθ + 3 cos(θ + π/3) + 3 lies between - 4 and 10.

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Let f(θ) = 5 cosθ + 3 cos(θ + π/3) + 3

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