Wave Walker DSP

DSP Algorithms for RF Systems

Buy the Book!

Foundations of Digital Signal Processing: Complex Numbers is available Amazon now! Great for young engineers looking for a simple explanation of complex numbers.

Using Euler’s Formula to Derive Sine and Cosine
November 24, 2021

Table of Contents


Cosine and sine can be written as the sum of two complex exponentials. Euler’s formula states

(1)   \begin{equation*}e^{j\omega} = \text{cos}(\omega) + j \text{sin}(\omega).\end{equation*}

More posts on complex numbers and complex sinusoids:

For more information check out my book Fundamentals of Digital Signal Processing: Complex Numbers, available on Amazon now!