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

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Question

(D) ધારો કે $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 \f

Vedclass · Accepted Answer

$\frac{1}{64}$

Vedclass · Answer

(D) ધારો કે $P = \sin \frac{\pi}{14} \sin \frac{3\pi}{14} \sin \frac{5\pi}{14} \sin \frac{7\pi}{14} \sin \frac{9\pi}{14} \sin \frac{11\pi}{14} \sin \frac{13\pi}{14}$.$\sin(\pi - 	heta) = \sin 	heta$ ગુણધર્મનો ઉપયોગ કરતા:$\sin \frac{13\pi}{14} = \sin \frac{\pi}{14}$,$\sin \frac{11\pi}{14} = \sin \frac{3\pi}{14}$,અને $\sin \frac{9\pi}{14} = \sin \frac{5\pi}{14}$.વળી,$\sin \frac{7\pi}{14} = \sin \frac{\pi}{2} = 1$.તેથી,$P = \left( \sin \frac{\pi}{14} \sin \frac{3\pi}{14} \sin \frac{5\pi}{14} ight)^2 	imes 1 = \frac{1}{64}$.

$\sin \frac{\pi}{14} \sin \frac{3\pi}{14} \sin \frac{5\pi}{14} \sin \frac{7\pi}{14} \sin \frac{9\pi}{14} \sin \frac{11\pi}{14} \sin \frac{13\pi}{14}$ નું મૂલ્ય કેટલું થાય?

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