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}(1550°).

Given sin^{-1} (sin 1550°)

= sin^{-1} (sin (1440° + 110°))

= sin^{-1} (sin (360° × 4 + 110°))

We know that sin (2nπ + θ) = sin θ

= sin^{-1} (sin 110°)

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

= 180° - 110°

= 70°

∴ sin^{-1} (sin 1550°) = 70°

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