Final answer:
The value of arcsin(sqrt(2)/2) is π/4.
Step-by-step explanation:
To find the value of arcsin(sqrt(2)/2), we need to understand what arcsin represents. The arcsin function, also known as the inverse sine function, returns the angle whose sine value is a given number. In this case, the given number is sqrt(2)/2.
We know that the sine function has a value of 1/2 at π/6 and π/3. Since sqrt(2)/2 is between 1/2 and 1, the angle we are looking for lies between π/6 and π/3. Therefore, the value of arcsin(sqrt(2)/2) is π/4, which is not one of the given options. So the answer is none of the above.