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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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) =


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