Question 1

If $\{x\}$ denotes the fractional part of $x$ then $\{\dfrac {\cot84^{\circ}.\cot48^{\circ}}{\cot66^{\circ}.\cot78^{\circ}}\}=?$

$\text{Details and assumptions:}$

$\bullet$ $\{ A \}$ denote the fractional part of $A$ . For example, $A = 1.74 \Rightarrow \{ A \} = 0.74$ , $B = -1.3 \Rightarrow \{ B \} = 0.7$

$\bullet$ $\{x\}=x-\lfloor x \rfloor$

$\bullet$ This question is part of the set For the JEE-nius;P