Match the LIST-I with LIST-II

	LIST-I		LIST-II
A.	The range of $\sin^{-1} x$	I.	$[-1, 1]$
B.	Domain of $\cos^{-1} x$	II.	$(-\infty, \infty)$
C.	The range of $\tan^{-1} x$	III.	$\left[-\dfrac{\pi}{2}, \dfrac{\pi}{2}\right]$
D.	Domain of $\tan^{-1} x$	IV.	$\left(-\dfrac{\pi}{2}, \dfrac{\pi}{2}\right)$

Choose the correct answer from the options given below:

Value of $\cot\left\{\frac{\pi}{4} - 2\cot^{-1}3\right\}$ is

The simplified form of $\tan^{-1}\left(\frac{\cos x}{1+\sin x}\right)$, $-\frac{\pi}{2} < x < \frac{\pi}{2}$ is

Value of $\frac{e^{\sin(\tan^{-1} x + \cot^{-1} x)}}{e^{\sin(\sin^{-1} x + \cos^{-1} x)}}, x \in [-1, 1]$, is:

The value of $\cos^{-1}\left\{\dfrac{\sin x+\cos x}{\sqrt{2}}\right\}, \dfrac{5\pi}{4} < x < \dfrac{9\pi}{4}$ is :

The maximum value of $\sin x + \cos x, x \in R$ is:

The principal value of $\cot^{-1}\left(\frac{-1}{\sqrt{3}}\right)$ is :