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Introduction

This formula is named after Leonhard Euler and is an important formula in the analysis of complex numbers. This formula was first discovered by Roger Cotes in 1714, even though the formula is named after Euler. It shows the relationship between the complex exponential and the trigonometric functions sine and cosine.

Euler's Formula

$ \,\mathrm{e}^{j x} = (\cos x + j\sin x )\, $

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal