Functions 05

Algebra Level 4

f(x)=cosx2xπ+12 \large f(x) = \cfrac{\cos x}{\left\lfloor \frac{2x}{\pi} \right\rfloor + \frac{1}{2}}

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

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