RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 14 of Very short answer

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14

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 (sin(–600°)).


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°


1

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