Evaluate the area bounded by the curves y = sin(x), y = cos(x), and the y-axis in the first quadrant.

Evaluate the area bounded by the curves y = sin(x), y = cos(x), and the y-axis in the first quadrant.

• A. √2 − 1
• B. 1 − √2
• C. √2
• D. 2 − √2

Answer: A) √2 − 1

Explanation: From x=0 to x=π/4, cos(x) ≥ sin(x). Area = ∫(0 to π/4) (cos(x) − sin(x)) dx = [sin(x) + cos(x)] = (1/√2 + 1/√2) − (0 + 1) = √2 − 1 sq units.