sin frac{pi}{14} sin frac{3pi}{14} sin frac{5 | vedclass

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(D) माना $P = \sin \frac{\pi}{14} \sin \frac{3\pi}{14} \sin \frac{5\pi}{14} \sin \frac{7\pi}{14} \sin \frac{9\pi}{14} \sin \frac{11\pi}{14} \sin \frac

Vedclass · Accepted Answer

$\frac{1}{64}$

Vedclass · Answer

(D) माना $P = \sin \frac{\pi}{14} \sin \frac{3\pi}{14} \sin \frac{5\pi}{14} \sin \frac{7\pi}{14} \sin \frac{9\pi}{14} \sin \frac{11\pi}{14} \sin \frac{13\pi}{14}$.गुणधर्म $\sin(\pi - 	heta) = \sin 	heta$ का उपयोग करने पर:$\sin \frac{13\pi}{14} = \sin \frac{\pi}{14}$,$\sin \frac{11\pi}{14} = \sin \frac{3\pi}{14}$,और $\sin \frac{9\pi}{14} = \sin \frac{5\pi}{14}$.साथ ही,$\sin \frac{7\pi}{14} = \sin \frac{\pi}{2} = 1$.अतः,$P = \left( \sin \frac{\pi}{14} \sin \frac{3\pi}{14} \sin \frac{5\pi}{14} ight)^2 	imes 1 = \frac{1}{64}$.

$\sin \frac{\pi}{14} \sin \frac{3\pi}{14} \sin \frac{5\pi}{14} \sin \frac{7\pi}{14} \sin \frac{9\pi}{14} \sin \frac{11\pi}{14} \sin \frac{13\pi}{14}$ का मान किसके बराबर है?

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