Let n be a positive integer such that $ \sin \large\frac{\pi}{2n} $$+\cos \large\frac{\pi}{2n} =\frac{\sqrt n }{2}$ Then,

Question

$\begin{array}{1 1} 6 \leq n \leq 8 \\ 4 < n \leq 8 \\ 4 \leq n < 8 \\ 4 < n <8 \end{array} $</span>