RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 3 of Exercise 4.1

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Find the domain of each of the following functions:

f(x) = sin–1x + sinx

Domain of lies in the interval [–1, 1].

–1 1.

The domain of sin x lies in the interval

–1.57 1.57

From the above we can see that the domain of sin–1x + sinx is the intersection of the domains of sin–1x and sin x.

So domain of sin–1x + sinx is [–1, 1].

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