JEE Main 2022 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 25 July 2022, Shift 1, Maths Q18

Question 18 of 90 in this shift, Maths question 18 of 30, Section A.

The number of solutions of

|\cos x|=\sin x

, such that

-4\pi\le x\le4\pi

is :

(1) $4$
(2) $6$
(3) $8$ Official answer
(4) $12$

Official answer

Option 3

NTA final key (2022 Session 2).

Chapter: Trigonometric Functions
Topic: General Solutions
Idea tested: Modulus Trigonometric Equations

Same idea in other shifts

Asked 3× in all

4 Aug 2021, Shift 2 · Q79The number of solutions of the equation $|\cos x|=\cos x-2\sin x,\,-2\pi\le x\le2\pi$ , isMediumSingle correct
26 Aug 2021, Shift 1 · Q71The sum of solutions of the equation $\frac{\cos x}{1+\sin x} = |\tan 2x|$ ,…HardSingle 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.