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