Column-II contains of fundamental period of functions given in Column-I.

	Column-I		Column-II
A)	$f\left(x\right)={\sin }^{2020}\left(2019x\right)+{\cos }^{2020}\left(2019x\right)$	P)	$\frac{\pi }{4038}$
B)	$f\left(x\right)={\sin }^{2019}\left(2020x\right)+{\cos }^{2020}\left(2019x\right)$	Q)	$\pi$
C)	$f\left(x\right)={\sin }^{2020}\left(2019x\right)+{\cos }^{2019}\left(2020x\right)$	R)	$\frac{\pi }{1010}$
D)	$f\left(x\right)={\sin }^{2019}\left(2020x\right)+{\cos }^{2019}\left(2020x\right)$	S)	$2\pi$

(A) Fundamental period of ${\sin }^{2020}\left(2019x\right)$ and ${\cos }^{2020}\left(2019x\right)$ will be $\frac{\pi }{2019}$

So, Fundamental period of ${\sin }^{2020}\left(2019x\right)+{\cos }^{2020}\left(2019x\right)$ will be  $\frac{\pi }{4038}$

(B) Fundamental period of ${\sin }^{2019}\left(2020x\right)$ and  ${\cos }^{2020}\left(2019x\right)$ will be $\frac{\pi }{1010}$ and $\frac{\pi }{2019}$

So, Fundamental period of $f\left(x\right)={\sin }^{2019}\left(2020x\right)+{\cos }^{2020}\left(2019x\right)$ will be LCM of $\frac{\pi }{1010}$ and $\frac{\pi }{2019},$ which is $\pi$

(C) Fundamental period of ${\sin }^{2020}\left(2019x\right)$ and ${\cos }^{2019}\left(2020x\right)$ will be $\frac{\pi }{2019}$ and $\frac{\pi }{1010}$

So, Fundamental period of $f\left(x\right)={\sin }^{2020}\left(2019x\right)+{\cos }^{2019}\left(2020x\right)$ will be LCM of $\frac{\pi }{2019}$ and $\frac{\pi }{1010},$  which is $\pi$