JEE Main 2022MathematicsTrigonometric Ratios & IdentitiesEasyMCQ

JEE Main 2022 — Trigonometric Ratios & Identities Question with Solution

JEE Main 2022 (26 Jun Shift 2)

Question

16sin20°sin40°sin80° is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
B23

Step-by-step explanation

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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About this question

This is a previous-year question from JEE Main 2022, covering the Trigonometric Ratios & Identities chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.