Category:Definitions/Complex Cosine Function

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This category contains definitions related to Complex Cosine Function.
Related results can be found in Category:Complex Cosine Function.


The complex function $\cos: \C \to \C$ is defined as:

\(\ds \cos z\) \(=\) \(\ds \sum_{n \mathop = 0}^\infty \paren {-1}^n \frac {z^{2 n} } {\paren {2 n}!}\)
\(\ds \) \(=\) \(\ds 1 - \frac {z^2} {2!} + \frac {z^4} {4!} - \frac {z^6} {6!} + \cdots + \paren {-1}^n \frac {z^{2 n} } {\paren {2 n}!} + \cdots\)

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