Range of the function

$f(x) = \sqrt {\left| {{{\sin }^{ - 1}}\left| {\sin x} \right|} \right| - {{\cos }^{ - 1}}\left| {\cos x} \right|} $ is

  • A

    $\left\{ 0 \right\}$

  • B

    $\left\{ {\frac{\pi }{2}} \right\}$

  • C

    $\left\{ {0,\frac{\pi }{2}} \right\}$

  • D

    $\left[ {0,\frac{\pi }{2}} \right]$

Similar Questions

The period of the function $f(x) = \log \cos 2x + \sin 4x$ is :-

If in greatest integer function, the domain is a set of real numbers, then range will be set of

If $f(x) = \frac{x}{{x - 1}}$, then $\frac{{f(a)}}{{f(a + 1)}} = $

If $f(x)$ is a quadratic expression such that $f(1) + f (2)\, = 0$ , and $-1$ is a root of $f(x)\, = 0$, then the other root of $f(x)\, = 0$ is

  • [JEE MAIN 2018]

The domain of the definition of the function $f\left( x \right) = \frac{1}{{4 - {x^2}}} + \log \,\left( {{x^3} - x} \right)$ is

  • [JEE MAIN 2019]