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

Write the value of sin^{–1} (sin(–600°)).

Given sin^{-1} (sin (-600°))

= sin^{-1} (sin (-600 + 360 × 2))

We know that sin (2nπ + θ) = sin θ

= sin (sin 120°)

We know that sin^{-1} (sin θ) = π – θ, if θ ∈ [π/2, 3π/2]

= 180° - 120°

= 60°

∴ sin^{-1} (sin (-600°)) = 60°

1