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If $\cos A = 3 / 4$ , then the value of $16 \cos^{2} (A / 2) - 32 \sin (A / 2) \sin (5 A / 2)$ is

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Correct option is C

The given expression is equal to8(1+cos⁡A)−16(cos⁡2A−cos⁡3A)=8(1+cos⁡A)−162cos2⁡A−1−cos⁡A4cos2⁡A−3=81+34−162×916−1−344×916−3=14−(18−16−27+36)=3.

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If cos⁡A=3/4, then the value of 16cos2⁡(A/2)−32sin⁡(A/2)sin⁡(5A/2) is

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If $\cos A = 3 / 4$ , then the value of $16 \cos^{2} (A / 2) - 32 \sin (A / 2) \sin (5 A / 2)$ is