Euler's Formula


Basically, it is a mathematical formula in complex analysis in the form of:

$ e^{ix} = \cos x + i\sin x \! $

where i is the imaginary number, and x is any real number.


Interestingly, although it is named after the brilliant mathematician Leonhard Euler, he was not the first to prove this formula. It was Roger Cotes who had proven it for the first time in 1714. Euler had published the formula in the form stated above in 1748.

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett