## Problem of the Day #199: The Minimal Maximum
*October 4, 2011*

*Posted by Saketh in : potd , trackback*

Alex was recently gifted a new function $f(c)$, which denotes in terms $a$ and $b$ the maximum value of $$|\cos{x} + \frac{a}{b+\cos{x}} + c|$$ Determine the minimum of $f(c)$ over all real $c$.

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