Complex Numbers: Difference between revisions
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* The conjugate is <math>e^{-ix}</math> since cosine is symmetric and sine is odd (i.e. <math>sin(-x) = -sin(x)</math>) | * The conjugate is <math>e^{-ix}</math> since cosine is symmetric and sine is odd (i.e. <math>sin(-x) = -sin(x)</math>) | ||
==Euler's | ==Euler's identity== | ||
Euler's | {{main | Wikipedia: Euler's identity}} | ||
Euler's identity states: | |||
<math display="block"> | <math display="block"> | ||
e^{i \pi} + 1 = 0 | e^{i \pi} + 1 = 0 | ||