Function game

Geometry Level 4

\[f(x)=\frac{2015}{x^{2015}+1}+\frac{2016}{x^{2016}+1}-\frac{2017}{x^{2017}+1}\]

Find the value of \(f(\tan 15^\circ)+f(\tan 30^\circ)+f(\tan 45^\circ)+f(\tan 60^\circ)+f(\tan 75^\circ)\).

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