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JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 25 July 2022, Shift 2, Maths Q19

Question 19 of 90 in this shift, Maths question 19 of 30, Section A.

2\sin\left(\frac{\pi}{22}\right)\sin\left(\frac{3\pi}{22}\right)\sin\left(\frac{5\pi}{22}\right)\sin\left(\frac{7\pi}{22}\right)\sin\left(\frac{9\pi}{22}\right)

is equal to :

(1) $\frac{3}{16}$
(2) $\frac{1}{16}$ Official answer
(3) $\frac{1}{32}$
(4) $\frac{9}{32}$

Official answer

Option 2

NTA final key.

Chapter: Trigonometric Functions
Topic: Trigonometric Identities
Idea tested: Product of Cosines with Doubling Angles

Same idea in other shifts

Asked 2× in all

10 Apr 2023, Shift 1 · Q19 $96\cos\frac{\pi}{33}\cos\frac{2\pi}{33}\cos\frac{4\pi}{33}\cos\frac{8\pi}{33}\cos\frac{16\pi}{33}$ is equal toMediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.