Verified Answer :

a386

\(\frac{\pi}{6}\)

When you are asked what is the sin of π/6, or 30 degrees, you would look at the special triangle (30-60-90) to see that sin, or opposite over hypotenuse, of π/6 is 1/2.  Arcsin, or csc, will present you with the ratio, 1/2, and ask for the angle.  It's essentially working the question backwards.