Wave Walker DSP

DSP Algorithms for RF Systems

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Using Euler’s Formula to Derive Sine and Cosine

November 24, 2021

Introduction

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!