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Corollary: Representing Real Sine by Complex Exponential Function
(related to Definition: Sine of a Real Variable)
The sine of a real variable \(\sin:\mathbb R\to \mathbb R\) can be represented by the exponential function of a complex variable by the following formula:
\[\sin(x)=\frac 1{2i}(\exp(ix)\exp(ix)).\]
An alternative notation for this formula is
\[\sin(x)=\frac 1{2i}(e^{ix}e^{ix}).\]
Table of Contents
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983