Mark the tick against the correct answer in the following: Range of $\cos ^{-1} x$ is A. $[0, \pi]$ B. $\left[0, \frac{\pi}{2}\right]$ C. $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$ D. None of these

Home » Mark the tick against the correct answer in the following: Range of is A. B. C. D. None of these

Mark the tick against the correct answer in the following: Range of $\cos ^{-1} x$ is
A. $[0, \pi]$
B. $\left[0, \frac{\pi}{2}\right]$
C. $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$
D. None of these

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

Mark the tick against the correct answer in the following: Range of $\cos ^{-1} x$ is
A. $[0, \pi]$
B. $\left[0, \frac{\pi}{2}\right]$
C. $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$
D. None of these

Solution:

Option(A) is correct.
To Find: The range of $\cos ^{-1} x$
Here, the inverse function is given by $\mathrm{y}=\mathrm{f}^{-1}(x)$
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 range of $\cos ^{-1}(x)$