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:<math>e^{i\phi} = \cos \phi + i\sin \phi \!</math>
:<math>e^{i\phi} = \cos \phi + i\sin \phi \!</math>
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===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:
:<math>e^{i\pi} + 1 = 0 \!</math>
[[category:mathematics]]
[[category:mathematics]]