1.

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

Answer»

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°



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