Towards an Expression for Pi

I have stumbled across something beautiful! I haven’t the time to write of it now, but I can allude to it without fear. Eventually, I will reproduce a very fascinating formula for $latex \pi$.

But first:

Consider the following expression:

$latex \cos \dfrac{\xi}{2} \cos \dfrac{\xi}{4} \cos \dfrac{\xi}{8} … \cos \dfrac{\xi}{2^n}$

It can be simplified into a very simple quotient of $latex sin$ in terms of $latex \xi$.

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One Response to Towards an Expression for Pi

  1. Pingback: Towards an Expression for pi II « mixedmath

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