Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Write the difference between maximum and minimum values of sin^{–1}x for x ∈ [–1, 1].

Let f (x) = sin^{-1} x

For x to be defined, -1 ≤ x ≤ 1

For -1 ≤ x ≤ 1, sin^{-1} (-1) ≤ sin^{-1} x ≤ sin^{-1} (1)

⇒ -π/2 ≤ sin^{-1} x ≤ π/2

⇒ -π/2 ≤ f (x) ≤ π/2

Maximum value = π/2 and minimum value = -π/2

∴ The difference between maximum and minimum values of sin^{-1} x = π/2 – (-π/2) = 2π/2

= π

1