COLUMN-I		COLUMN-II
a	The value of ${\left(\frac{4+\sec 20°}{\mathrm{cosec}20°}\right)}^2$ is	p	1
b	The minimum value of $\frac{1+\cos 2\mathrm{x}+8{\sin }^2\mathrm{x}}{2\sin 2\mathrm{x}},\mathrm{x}\in (0,\mathrm{\pi }/2),$ is	q	2
c	The value of $\frac{8\sin 40°.\sin 50°.\tan 10°}{\cos 80°}$ is	r	3
d	If $\frac{\cos 5\mathrm{A}}{\mathrm{cosA}}+\frac{\sin 5\mathrm{A}}{\mathrm{sinA}}=\mathrm{a}+\mathrm{bcos}4\mathrm{A}$ then ${\mathrm{a}}^2/\mathrm{b}$ is	s	4

A) $\text{}{\left[\frac{4+\sec 20}{\cos ec20}\right]}^2={\left[\frac{\sin 20}{\cos 20}(4\cos 20+1)\right]}^2$  
$={\left[\frac{2\sin 40+\sin 20}{\cos 20}\right]}^2={\left(\frac{2\sin 60\cos 20}{\cos 20}\right)}^2=3$ 
B) $\text{}f\left(x\right)=\frac{2{\cos }^{2}x+8{\sin }^{2}x}{2\sin 2x},f\left(x\right)>0$  
$=\frac{\cot x+4\tan x}{2}={\frac{(\sqrt{\cot x}-2\sqrt{\tan x})}{2}}^2+2$ 
$f{\left(x\right)}_{\min }=2$ 
C) $\frac{8\sin 40°\sin 50°\tan 10°}{\cos 80°}=\frac{4\left(2\sin 50\sin 40\right)\sin 10}{\cos 10\sin 10}=4$  
D) $\frac{2\sin 6A}{\sin 2A}=\frac{2\sin 3\left(2A\right)}{\sin 2A}=2(3-4{\sin }^{2}2A)$  
$\frac{2\sin 6A}{\sin 2A}=\frac{2\sin 3\left(2A\right)}{\sin 2A}=2(3-4{\sin }^{2}2A)\raisebox{1ex}{$a^2$}\!\left/ \!\raisebox{-1ex}{$b$}\right.=1$