RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 1 of Exercise 4.7

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1

Evaluate each of the following:

The value of sin is


∴ The question becomes sin–1


Let sin–1 = y


⇒ sin y =


= sin


The range of principal value of sin–1 is and sin


Therefore, the value of sin–1(sin) is .


Alternate Solution:


sin–1(sin x) = x


Provided x ϵ


∴ we can write sin–1(sin) =


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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