The value of sin,10^o sin,30^o sin,50^o sin,7 | vedclass

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(D) We know the identity $\sin	heta \sin(60^o - 	heta) \sin(60^o + 	heta) = \frac{1}{4} \sin(3	heta)$.Given expression: $E = \sin\,10^o \sin\,30^o

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$\frac{1}{16}$

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(D) We know the identity $\sin	heta \sin(60^o - 	heta) \sin(60^o + 	heta) = \frac{1}{4} \sin(3	heta)$.Given expression: $E = \sin\,10^o \sin\,30^o \sin\,50^o \sin\,70^o$.Rearranging the terms: $E = \sin\,30^o 	imes [\sin\,10^o \sin(60^o - 10^o) \sin(60^o + 10^o)]$.Using the identity with $	heta = 10^o$: $E = \sin\,30^o 	imes [\frac{1}{4} \sin(3 	imes 10^o)]$.$E = \sin\,30^o 	imes \frac{1}{4} \sin\,30^o$.Since $\sin\,30^o = \frac{1}{2}$,we have $E = \frac{1}{2} 	imes \frac{1}{4} 	imes \frac{1}{2} = \frac{1}{16}$.

The value of $\sin\,10^o \sin\,30^o \sin\,50^o \sin\,70^o$ is

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