16 sin 10째 sin 30째 sin 50째 sin 70째=1 (R S – InterviewSolution

1.

16 sin 10째 sin 30째 sin 50째 sin 70째=1 (R S

Answer»

sin10sin30 sin 50 sin70 = 1/16

=1/2 (sin10 sin50 sin70)

=1/2 (sin50 sin70) sin10

=1/2 (sin(60-10)sin(60+10)) sin 10

=1/2(sin260-sin210)sin10

=1/8(3/4-sin210)sin10

=1/8(3-4sin210)sin10

=1/8(3sin10-4sin310)

=1/8(sin3X10)

=1/16

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