# A trigonometric substitution

Geometry Level 4

$\large \frac 1 { \sin \left ( \frac \pi n \right ) } = \frac 1 { \sin \left ( \frac {2\pi} n \right ) } + \frac 1 { \sin \left ( \frac {3\pi} n \right ) }$

Find the positive integer value of $n>3$ satisfying the equation above.

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