Difference between revisions of "Euler's Formula"
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| − | [[Euler]]'s formula is the following identity in complex analysis making use of the [[imaginary number]] <math>i</math>: | + | '''[[Euler]]'s formula''' is the following identity in complex analysis making use of the [[imaginary number]] <math>i</math>: |
:<math>e^{i\phi} = \cos \phi + i\sin \phi \!</math> | :<math>e^{i\phi} = \cos \phi + i\sin \phi \!</math> | ||
Revision as of 23:12, April 28, 2008
Euler's formula is the following identity in complex analysis making use of the imaginary number :
Euler's Identity
The formula can be used to derive an equation known as Euler's identity, which is sometimes considered one of most beautiful equations in mathematics: