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

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title: 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?
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#### More Information:
Read more about Eulers Formula [here](http://mathworld.wolfram.com/EulerFormula.html)
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