# Functions 05

Algebra Level 4

$\large f(x) = \cfrac{\cos x}{\left\lfloor \frac{2x}{\pi} \right\rfloor + \frac{1}{2}}$

What is the value of $$f(x)$$ above for all $$x \ne n \pi$$, where $$n \in \mathbb Z$$?

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