# Question 1

Geometry Level 4

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

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