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QJEEM22Maf7d0: JEE Main 2022 Mathematics - Class 11 JEEM22Maf7d0 Solution: The number of solutions of

The number of solutions of |cos⁡x|=sin⁡x, such that −4π≤x≤4π is :

Multiple Choice Options

  • A 4
  • B 6
  • C 8
  • D 12

Step-by-Step Verified Solution

Period of |cos⁡x|=π

And period of sin⁡x=2π

JEE Main 2022 (Online) 25th July Morning Shift Mathematics - Trigonometric Equations Question 20 English Explanation

Graph of sin⁡x and |cos⁡x| cuts each other at two points A and B in [0,2π]

So, in [−4π,4π], total 4 similar graph will be present and graph of sin⁡x and |cos⁡x| will cut 4×2=8 times.

∴ Total possible solutions = 8.

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