Euler's formula

id: euler-s-formula-206-9573195
title: Euler's formula
text: Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that, for any real number x, one has e i x = cos ⁡ x + i sin ⁡ x, where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine respectively. This complex exponential function is sometimes deno
brand slug: wiki
category slug: encyclopedia
description: Complex exponential in terms of sine and cosine
original url: https://en.wikipedia.org/wiki/Euler%27s_formula
date created: 2001-07-28T01:08:36Z
date modified: 2024-09-10T19:33:24Z
main entity: {"identifier":"Q184871","url":"https://www.wikidata.org/entity/Q184871"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/7/71/Euler%27s_formula.svg","width":700,"height":700}
fields total: 13
integrity: 16

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