Match the following lists:

List I	List II
a. Number of roots of the equation ${\sin }^{-1}\left(\sin x\right)=\frac{x}{4}$ is	p. 2
b. Number of roots of the equation ${\cos }^{-1}\left(\cos x\right)=\frac{x}{4}$ is	q. 3
c. Number of roots of the equation ${\tan }^{-1}\left(\tan x\right)=\frac{x}{4}$ is	r. 4
d. Number of roots of the equation ${\cot }^{-1}\left(\cot x\right)=\frac{x}{4}$ is	s. 5

Graph of $y={\sin }^{-1}\left(\sin x\right)$  and  $y=x/4$ intersect at three points. So, number of solutions is 3.
 
B. Graph of  $y={\cos }^{-1}\left(\cos x\right)$ and $y=x/4$  intersect at four points. So, number of solutions is 4.
 
C. Graph of $y={\tan }^{-1}\left(\tan x\right)$  and $y=x/4$  intersect at four points. So, number of solutions is 3.
 
D. Graph of  $y={\cot }^{-1}\left(\cot x\right)$ and $y=x/4$ intersect at four points. So, number of solutions is 2.