De Moivre's formula
id:
de-moivre-s-formula-187-16352654
title:
De Moivre's formula
text:
In mathematics, de Moivre's formula states that for any real number x and integer n it is the case that n = cos n x + i sin n x, where i is the imaginary unit. The formula is named after Abraham de Moivre, although he never stated it in his works. The expression cos x + i sin x is sometimes abbreviated to cis x. The formula is important because it connects complex numbers and trigonometry. By expanding the left hand side and then comparing the real and imaginary parts under the assumption th
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem: (cos x + i sin x)^n = cos nx + i sin nx
original url:
https://en.wikipedia.org/wiki/De_Moivre%27s_formula
date created:
2001-07-26T23:04:21Z
date modified:
2024-09-08T16:51:05Z
main entity:
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image:
fields total:
13
integrity:
15