Let A 1 be the area of the region bounded by the curves y = sin x , y = cos x and y -axis in the first quadrant. Also, let A 2 be the area of the region bounded by the curves y = sin x , y = cos x , x -axis and x = π 2 in the first quadrant. Then,

Question

Let A 1 be the area of the region bounded by the curves y = sin x , y = cos x and y -axis in the first quadrant. Also, let A 2 be the area of the region bounded by the curves y = sin x , y = cos x , x -axis and x = &#960; 2 in the first quadrant. Then,

Aicharya · Accepted Answer

A 1 = &#8747; 0 &#960; / 4 cos x - sin x d x A 1 = sin x + cos x 0 &#960; / 4 = 2 - 1 A 2 = &#8747; 0 &#960; / 4 sin x d x + &#8747; &#960; / 4 &#960; / 2 cos x d x = - cos x 0 &#960; / 4 + sin x &#960; / 4 &#960; / 2 A 2 = 1 - 1 2 + 1 - 1 2 = 2 - 2 A 1 : A 2 = 1 : 2 , &#160; A 1 + A 2 = 1

Let A 1 be the area of the region bounded by the curves y = sin x , y = cos x and y -axis in the first…

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