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If $n â N$ and $\sin â¡ (\frac{Ï}{2 n}) + \cos â¡ (\frac{Ï}{2 n}) = \frac{\sqrt{n}}{2}$ then a possible value of $n$ is

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detailed solution

Correct option is B

n4=sin2â¡Ï2n+cos2â¡Ï2n+sinâ¡2Ï2nâ sinâ¡Ïn=nâ44For nâN,sinâ¡Ïn>0 â´ nâ44>0 or n>4For n>4,Ïn<Ï2âsinâ¡Ïn<1â 0<14(nâ4)<1â4

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If nâN and sinâ¡Ï2n+cosâ¡Ï2n=n2then a possible value of n is

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If $n â N$ and $\sin â¡ (\frac{Ï}{2 n}) + \cos â¡ (\frac{Ï}{2 n}) = \frac{\sqrt{n}}{2}$ then a possible value of $n$ is