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JEE Main 202225 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
25 July
Shift
Morning Shift
Subject
Mathematics
Chapter
Trigonometric Equations

JEE Main 2022 · 25 July · Morning Shift · Mathematics · Trigonometric Equations

The number of solutions of | x| = x , such that - 4π ≤ x ≤ 4π is

The number of solutions of ∣cos⁡x∣=sin⁡x\left|\cos x\right| = \sin x, such that −4π≤x≤4π- 4\pi \le x \le 4\pi isThe number of solutions of | x| = x , such that - 4π ≤ x ≤ 4π is

Options

  1. A44
  2. B66
  3. C88
  4. D1212

Correct answer

C. 88

Step-by-step solution

The number of solutions will be the number of points of intersection of the graphs y=∣cos⁡x∣ and y=sin⁡xy = \left|\cos x\right| \text{ and } y = \sin x

Plotting the two curves on the same axis, we get,

The number of solutions of | x| = x , such that - 4π ≤ x ≤ 4π is

the number of intersection as 88

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