Q.

Area bounded by the curves y=sin⁡x and y=cos⁡x between two consecutive points of the  intersection.

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a

1

b

2

c

3

d

4

answer is A.

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Detailed Solution

Two consecutive points of intersection of y=sin⁡x and y=cos⁡x  can be taken as x=π/4 and x=5π/4 . Therefore,  Required area =∫π/45π/4 (sin⁡x−cos⁡x)dx=[−cos⁡x−sin⁡x]π/45π/4=22+22=22 sq. units
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Area bounded by the curves y=sin⁡x and y=cos⁡x between two consecutive points of the  intersection.