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Geometry Level 5

Consider the function from the positive integers to the reals \[f(n)=\sum _{ k=1 }^{ n }{ \sin ^{ 3 }{ (k°) } } \]Find the maximum possible value of \(f(n)\) as \(n\) ranges over all positive integers. Leave your answer to the nearest integer. Think out of the box or it will be very difficult. \[.\]\[.\] Try my Other Problems

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