Mark the tick against the correct answer in the following: Domain of $\cos -1 \mathrm{x}$ is A. $[0,1]$ B. $[-1,1]$ C. $[-1,0]$ D. None of these

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Mark the tick against the correct answer in the following: Domain of $\cos -1 \mathrm{x}$ is
A. $[0,1]$
B. $[-1,1]$
C. $[-1,0]$
D. None of these

CBSE | Class 12 | Inverse Trigonometric Functions | Maths | RS Aggarwal

Mark the tick against the correct answer in the following: Domain of $\cos -1 \mathrm{x}$ is
A. $[0,1]$
B. $[-1,1]$
C. $[-1,0]$
D. None of these

Solution:

Option(B) is correct.
To Find: The Domain of $\cos ^{-1}(x)$
Here,the inverse function of $\cos$ is given by $y=f^{-1}(x)$
The graph of the function $y=\cos ^{-1}(x)$ can be obtained from the graph of
$Y=\cos x$ by interchanging $x$ and $y$ axes.i.e, if $(a, b)$ is a point on $Y=\cos x$ then $(b, a)$ is the point on the function $y=\cos ^{-1}(x)$
Below is the Graph of the domain of $\cos ^{-1}(x)$