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Question

sin 6 sin 42 sin 66 sin 78=116


Solution

L.H.S.=sin 6 sin 42 sin 66 sin 78=14 (2 sin 6. sin60)(2 sin 42 . sin 78)=14 (cos 60cos 72)(cos 36cos 120)=14 (12sin 18)(5+14+12)=14 (12514)(5+14+12)

=14(25+14)(5+1+24)=14 (3252)=164(95)=116
= RHS.


Mathematics
RD Sharma
Standard XI

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