Final answer:
The value of arcsin (√2)/2 is π/4 or 45 degrees.
Step-by-step explanation:
The value of arcsin(√2)/2 can be found using a calculator or a trigonometric identity. Since arcsin is the inverse function of sine, we can find the value of the angle by solving the equation sin(angle) = √2/2.
One way to solve this equation is to use the unit circle. At which angles does the sine function have a value of √2/2? The sine function is equal to √2/2 at π/4 and 3π/4. Hence, the value of arcsin(√2)/2 is π/4 or 45 degrees.