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Question

Write the maximum value of 12 sin x − 9 sin2 x.

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Solution

Let fx=12sinx -9 sin2x =-9sin2x-12 sin x = -3sin x2-2.3 sin x.2+22-4 =-3 sinx-22-4 =4-3 sinx-22Minimum value of 3 sinx-22 is 0.Therefore, maximum value of 4-3 sinx-22 would be 4.

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