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Q.

16 sin 20° sin40° sin80° is equal to :

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a

 3

b

 23

c

 43

d

 3

answer is B.

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Detailed Solution

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16 sin20o sin 40o sin 80o

=16sin40°sin20°sin80° =4(4sin(60-20)sin(20)sin(60+20)) =4×sin3×20° [sin3θ=4sin(60-θ)×sinθ×sin(60+θ)] =4×sin60° =4×32=23 

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