PYQ Vault
EbooksTutor

Area under y = max or min of sin x and cos x

This type of question, asked 3 times: 13 Apr 2023, 8 Apr 2024, 23 Jan 2026 S1. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    13 Apr 2023

    70
    The area of the region enclosed by the curve f(x)=max⁡{sin⁡x,cos⁡x},−π≤x≤πf(x) = \max\{ \sin x,\cos x\}, - \pi \leq x \leq \pi and the xx-axis is

    Tap an option to check your answer.

  2. Question 2

    8 Apr 2024

    89
    Let the area of the region enclosed by the curve y=min⁡{sin⁡x,cos⁡x}y = \min\{ \sin x,\cos x\} and the xx-axis between x=−πx = -\pi to x=πx=\pi be AA. Then A2A^{2} is equal to

  3. Question 3

    23 Jan 2026 S1

    72
    Let the area of the region bounded by the curve y=max⁡{sin⁡x,cos⁡x}y = \max\{ \sin x,\cos x\}, the lines x=0,x=3π2x = 0,x = \frac{3\pi}{2} and the xx-axis be A. Then, A+A2A + A^{2} is equal to