If 0 leq theta leq 2 pi,0 leq alpha leq 2 pi | vedclass

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(D) Given $\sec ^{2018} 	heta + \operatorname{cosec}^{2018} \alpha = 2$. Since $\sec ^{2018} 	heta \geq 1$ and $\operatorname{cosec}^{2018} \alpha \

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$2$

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(D) Given $\sec ^{2018} 	heta + \operatorname{cosec}^{2018} \alpha = 2$. Since $\sec ^{2018} 	heta \geq 1$ and $\operatorname{cosec}^{2018} \alpha \geq 1$ (for real values where defined),the sum can be $2$ only if $\sec ^{2018} 	heta = 1$ and $\operatorname{cosec}^{2018} \alpha = 1$. This implies $\sec 	heta = 1$ (or $-1$,but $\sec^{2018} 	heta = 1$ is satisfied by $	heta = 0, \pi, 2\pi$) and $\operatorname{cosec} \alpha = 1$ (or $-1$,but $\operatorname{cosec}^{2018} \alpha = 1$ is satisfied by $\alpha = \pi/2, 3\pi/2$). For $	heta = 0$ and $\alpha = \pi/2$: $\cos ^{2020} 	heta + \sin ^{2022} \alpha = \cos ^{2020} (0) + \sin ^{2022} (\pi/2) = 1^{2020} + 1^{2022} = 1 + 1 = 2$.

List-$I$	List-$II$
$A$. The period of $\sin^2 x$ is	$I$. $\frac{2\pi}{3}$
$B$. Maximum value of $\frac{\pi}{3}(\sqrt{3}\cos 3x + \sin 3x)$	$II$. $12\pi$
$C$. The period of $\sin \frac{x}{3} + \cos \frac{x}{2}$ is	$III$. $\frac{\pi}{2}$
$D$. Intersection points of $y=\|\sin x\|$ and $y=1$ in $(0, \pi)$	$IV$. $\frac{3\pi}{2}$
	$V$. $\pi$

If $0 \leq \theta \leq 2 \pi$,$0 \leq \alpha \leq 2 \pi$ and $\sec ^{2018} \theta + \operatorname{cosec}^{2018} \alpha = 2$,then the value of $\cos ^{2020} \theta + \sin ^{2022} \alpha =$

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