A trigonometric substitution

Geometry Level 4

1sin⁡(πn)=1sin⁡(2πn)+1sin⁡(3πn) \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>3n>3 satisfying the equation above.

Vighnesh Raut by Vighnesh Raut
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