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

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Question

$\sin \,{10^o}\,\sin \,{30^o}\,\sin \,{50^o}\,\sin \,{70^o}$

$ = \,\,\sin \,{10^o}\,\sin \,{30^o}\,\sin \,{50^o}\,\sin \,{70^o}$

$ = \,\,\sin \,

Vedclass · Accepted Answer

$\frac{1}{{16}}$

Vedclass · Answer

$\sin \,{10^o}\,\sin \,{30^o}\,\sin \,{50^o}\,\sin \,{70^o}$

$ = \,\,\sin \,{10^o}\,\sin \,{30^o}\,\sin \,{50^o}\,\sin \,{70^o}$

$ = \,\,\sin \,{30^o}\,\{ \sin \,{10^o}\sin \,({60^o} - {10^o})\,\sin ({60^o} + {10^o})\,\} $

$ = \,\,\sin \,{30^o}\,\left\{ {\frac{1}{4}\sin \,3({{10}^o})} ight\}$

$ = \,\frac{1}{2}\left( {\frac{1}{4} 	imes \frac{1}{2}} ight)$

$ = \,\frac{1}{{16}}$

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

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