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

Question

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°).

Philoid · Accepted Answer

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°