# KVPY #21

Geometry Level 3

Let $n$ be a positive integer such that

$\large \sin \dfrac{π}{2n} + \cos \dfrac{π}{2n} = \dfrac{ \sqrt{n} }{2}$

Then find the value of $n$.

• For more KVPY practice questions try my set 1
• For JEE problems try my set 2
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