We show that cis(x) can be written as the exponential of j x then derive Euler's results for cos and sin.

Exponential form of a complex number (MathsCasts)

These MathsCasts were produced by the mathematics support centres at Swinburne University, the University of Limerick and Loughborough University. They were part of a collaborative research project to develop high quality resources and investigate the effectiveness of MathsCasts to support mathematics learning. The full set of resources are available at http://commons.swin.edu.au/s/mathscasts MathsCasts are licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License

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Exponential form of a complex number (MathsCasts)

Exponential form of a complex number (MathsCasts)