Answer :

Given that,


k = sin 10° sin 50° sin 70°


= sin 10° sin (90° - 40°). sin (90° - 20°)


= sin 10° cos 40° cos 20°



[ 2 cos x cos y = cos(x + y)+cos(x-y)]







[ 2 sin x cos y = sin (x + y)+sin(x-y)]





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