Question

value of 16 sin 20 sin 40 sin 60 sin 80​

Answer 1

I will use the identity:

sin theta x sin (60-theta) x sin (60+theta) =

¼sin3 theta

In this problem theta is 20°

16 x sin theta x sin (60-theta) x sin (60+theta)x sin 60°

= 16 x ¼sin 60° x sin60°

= 4 x 3/4

= 3

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