freeCodeCamp/guide/english/mathematics/eulers-formula/index.md

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Eulers Formula

Eulers Formula

Eulers Formula is a mathematical identity which states that (for any value of x): e^(ix)=cosx+isinx

This is of interest because of the following case: When x=pi, Euler's Formula gives the beautiful identity invovling pi, e, and i.

e^(ipi)+1=0,

A famous joke for mathematicians is "How many mathematicians does it take to change a light bulb?" and answers "-e^(ipi)" Can you tell what the answer is?

This is often used when dealing with complex numbers in exponential form.

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More Information:

Mathworld Wikipedia