23. sin 10째 sin 30째 sin 50째 sin 70째-16 – InterviewSolution

1.

23. sin 10째 sin 30째 sin 50째 sin 70째-16

Answer»

We have sinx*sin(60 – x)*sin(60 + x) = 1/4* sin3x

sin10*sin30*sin50*sin70

=1/2*sin10*sin(60 – 10)*sin(60 + 10)

=1/2*1/4*sin(3*10)

=1/2*1/4*1/2

=1/16

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