Identität « 0,1,2,3,…

Filed under: Identität — abi007 @ 4:33 pm

$\frac {1}{ab} = \frac {1}{b - a} \left ( \frac1{a} - \frac1{b} \right )$

Filed under: Analysis,Identität — abi007 @ 1:38 pm

$\displaystyle\frac 1{\sin z}=\frac 1{\tan \frac{z}{2}}-\frac 1{\tan z}$
$\displaystyle \arcsin ({\cos x})+\arccos ({\cos x}) =\frac{\pi}{2}$

Filed under: Analysis,Identität,Reihen — abi007 @ 4:46 am

$\displaystyle\sin\,(\pi\,x)\;=\;(\pi\,x)\prod_{k=1}^\infty\;\left(1-\dfrac{x^2}{k^2}\right)$

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