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Question: Answered & Verified by Expert
16sin20°sin40°sin80° is equal to
MathematicsTrigonometric Ratios & IdentitiesJEE MainJEE Main 2022 (26 Jun Shift 2)
Options:
  • A 3
  • B 23
  • C 3
  • D 43
Solution:
2289 Upvotes Verified Answer
The correct answer is: 23

We know that sinθsin60-θsin60+θ=14sin3θ

Now given 16sin20°sin40°sin80°

Comparing with above formula θ=20°

we get 16sin20°sin40°sin80°=16×14×sin3×20°

=16×14×sin60° =4×32=23

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