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The difference of the maximum and the minimum values of the function $5 \cos x + 3 \cos (x + \frac{π}{3}) + 8$ over R is

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Correct option is B

5cosx+3cosx2−32sinx+8= 132cosx−332sinx+8Whose minimum and maximum values are 8−1322+3322 and 8+1322+3322=1 and 15∴Maximum – minimum = 15 – 1 = 14

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The difference of the maximum and the minimum values of the function 5 cosx+3 cos(x+π3)+8 over R is

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The difference of the maximum and the minimum values of the function $5 \cos x + 3 \cos (x + \frac{π}{3}) + 8$ over R is