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Inverse Trigonometric Functions — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions2 Marks
Question
Find the domain of the following functions:
$\text{f(x)}=\sin^{-1}\text{x}^2$
✓

Answer

To the domain of $\sin ^{-1} y$ which is $[-1,1]$
$\therefore x ^2 \in[0,1]$ as $x ^2$ can, not be negative
$\because x \in[-1,1]$
Hence, the domaine is $[-1,1]$

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