The area between the curve y = cos x, y = sin x and y-axis from x = 0 to their first intersection in the first quadrant is:

The area between the curve y = cos x, y = sin x and y-axis from x = 0 to their first intersection in the first quadrant is:

• A. √2 − 1 sq units
• B. √2 sq units
• C. 1 − √2 sq units
• D. √2 + 1 sq units

Answer: A) √2 − 1 sq units

Explanation: Intersection at x = π/4. Required area = ∫[0 to π/4] (cos x − sin x) dx = [sin x + cos x]₀^(π/4) = (√2/2 + √2/2) − (0 + 1) = √2 − 1 sq units.