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Find the Domain of the Following Function: `F(X)=Sin^-1x^2` - Mathematics

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Question

Find the domain of the following function:

`f(x)=sin^-1x^2`

 

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Solution

To the domain of sin-1 which is [−1, 1]

∴ x2 ∈ [0, 1] as x2 can not be negative

∴ x ∈ [-1, 1] 

Hence, the domain is [−1, 1]

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.01 [Page 7]

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RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.01 | Q 3.1 | Page 7
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