/

Learn

Saturday, 31 October

/

JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 24 June 2022, Shift 2, Maths Q13

Question 13 of 90 in this shift, Maths question 13 of 30, Section A.

The number of solutions of the equation

\cos\left(x + \frac{\pi}{3}\right)\cos\left(\frac{\pi}{3} - x\right) = \frac{1}{4}\cos^2 2x

,

x \in [-3\pi, 3\pi]

is:

(1)8
(2)5
(3)6
(4)7Official answer

Official answer

Option 4

NTA final key.

Chapter: Trigonometric Functions
Topic: General Solutions
Idea tested: Product-to-Sum Transformation

Same idea in other shifts

Asked 2× in all

5 Apr 2026, Shift 2 · Q23If $S=\left\{\theta \in [-\pi, \pi] : \cos\theta\cos\frac{5\theta}{2}=\cos 7\theta\cos\frac{7\theta}{2}\right\}$ , then n(S) is equal to…HardNumerical value

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.