Match the following :   

	List-I		List-II
(A)	$\cot (\frac{\pi }{4}+\theta ).\cot (\frac{\pi }{4}-\theta )$	(P)	0
(B)	$\sin ({45}^0+\theta )-\cos ({45}^0-\theta )$	(Q)	$\tan {56}^0$
(C)	$\frac{\cos {11}^0+\sin {11}^0}{\cos {11}^0-\sin {11}^0}$	(R)	$\frac{\sqrt{3}}{2}$
(D)	${\sin }^2{75}^0-{\sin }^2{15}^0$	(S)	1

A) $\cot \left(\frac{\pi }{4}-\theta \right)=\tan \left(\frac{\pi }{4}+\theta \right)$

$\cot (\frac{\pi }{4}+\theta ).\cot (\frac{\pi }{4}-\theta )=\cot (\frac{\pi }{4}+\theta )\tan \left(\frac{\pi }{4}+\theta \right)=1$

B) $\cos \left({45}^0-\theta \right)=\sin \left({45}^0+\theta \right)$

$\sin ({45}^0+\theta )-\cos ({45}^0-\theta )=0$

C) $\frac{\cos {11}^0+\sin {11}^0}{\cos {11}^0-\sin {11}^0}=\frac{1+\tan {11}^0}{1-\tan {11}^0}=\tan \left(45°+11°\right)=\tan 56°$

D) ${\sin }^{2}A-{\sin }^{2}B=\sin \left(A+B\right)\sin \left(A-B\right)$

${\sin }^2{75}^0-{\sin }^2{15}^0=\sin \left({75}^0+{15}^0\right)\sin \left({75}^0-{15}^0\right)=\sin 60°=\frac{\sqrt{3}}{2}$