Category:Complex Cosine Function
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This category contains results about Complex Cosine Function.
Definitions specific to this category can be found in Definitions/Complex Cosine Function.
The complex cosine 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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