[matematik]\displaystyle{ \prod_{k=3}^\infty \cos\left(\frac\pi k\right) = 0.1149420448\dots. }[/matematik]
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[matematik]\displaystyle{ \prod_{k=3}^\infty \cos\left(\frac\pi k\right) = 0.1149420448\dots. }[/matematik]
I wasn't able to parse your question, but the HE.NET team is hard at work making me smarter.