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

To solve this, we substitute x = 5/2 into the equation y = sin^(-1)(x/5).

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

Simplify the expression inside the inverse sine function.

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

The value of sin^(-1)(1/2) is π/6 or 30°.

Therefore, y = π/6 or 30°.