Q. 164.7( 3 Votes )

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°).

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°


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