Final answer:
The value of arcsin(sqrt(2)/2) is π/4 or 45 degrees as it corresponds to the sine of a 45-degree angle in a right-angled triangle.
Step-by-step explanation:
The value of arcsin(√2/2) corresponds to the angle in a right-angled triangle whose opposite side is equal to the square root of 2 divided by 2 and whose hypotenuse is 1. This ratio corresponds to the sine of the angle π/4 or 45 degrees, which is a commonly known value in trigonometry. Therefore, the correct answer is a) π/4.