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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°
∴ sin-1 (sin 1550°) = 70°