RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 1 of Very short answer

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1

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

Write the value of .


Let sin-1 (-√3 /2) = x and cos-1 (-1/2) = y


sin x = (-√3/ 2) and cos y = -1/2


We know that the range of the principal value branch of sin-1 is (-π/2, π/2) and cos-1 is (0, π).


We also know that sin (-π/ 3) = (-√3/ 2) and cos (2π/3) = -1/2


Value of sin-1 (-√3 /2) + cos-1 (-1/2) = -π/3 + 2π/3


= π/3


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