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


Chapter Exercises

Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4
Exercise 4.5
Exercise 4.6
Exercise 4.7
Exercise 4.8
Exercise 4.9
Exercise 4.10
Exercise 4.11
Exercise 4.12
Exercise 4.13
Exercise 4.14
Very short answer
MCQ

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