y = sin^-1 (x/5) at x = 5/2.

To find the value of y when x = 5/2 in the equation y = sin^(-1)(x/5), we substitute x = 5/2 into the equation:

y = sin^(-1)(5/2/5)
= sin^(-1)(1/2)

The sine inverse of 1/2 is π/6, so we have:

y = π/6