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If $\cos A = \frac{3}{4}$ , then the value of $\sin \frac{A}{2} \sin \frac{5 A}{2}$ , is

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Correct option is C

We have,sin⁡A2sin⁡5A2=122sin⁡A2sin⁡5A2=12(cos⁡2A−cos⁡3A)=122cos2⁡A−1−4cos3⁡A+3cos⁡A=122×916−1−4×2764+3×34=1132

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If cos⁡A=34, then the value of sin⁡A2sin⁡5A2, is

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If $\cos A = \frac{3}{4}$ , then the value of $\sin \frac{A}{2} \sin \frac{5 A}{2}$ , is