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>:
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'''[[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: