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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