Area enclosed between curves made of sin x and cos x
This type of question, asked 4 times: 2021 Paper 3, 2021 Paper 24, 2021 Paper 26, 29 Jan 2023. All 4 questions below, oldest first.
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Question 1
2021 Paper 3
82
The graphs of y=sinx and y=cosx intersect at two consecutive points, and between these points the two graphs enclose an area A. Then A4 is equal to
Question 2
2021 Paper 24
71
The area, enclosed by the curves y=sinx+cosx and y=∣cosx−sinx∣ and the lines x=0,x=2π, is:
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Question 3
2021 Paper 26
67
Let A1 be the area of the region bounded by the curves y=sinx, y=cosx and y-axis in the first quadrant. Also, let A2 be the area of the region bounded by the curves y=sinx,y=cosx,x-axis and x=2π in the first quadrant. Then,
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Question 4
29 Jan 2023
162
The area of the region A={(x,y):∣cosx−sinx∣≤y≤sinx,0≤x≤2π} is