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The area bounded by the curves `y= "sin"` x, y= cos x and y-axis in 1 quadrant is -

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The area bounded by the curves `y= "sin"` x, y= cos x and y-axis in 1 quadrant is -
A. `sqrt(2)`
B. `sqrt(2) +1`
C. `sqrt(2)-1`
D. `sqrt(2)+2`
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Correct Answer - C
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Required area `=overset(pi//4)underset(0)int("cosx -sin x") " dx"`
`("sin" x + cos x")_(0)^(pi//4)`
`((1)/(sqrt(2))+(1)/(sqrt(2))) =(0+1) =sqrt(2)-1`
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