Euler's Identity/Formula
Table of Contents
Euler’s Identity #
$$e^{i\pi} = -1$$
Where
- \(e\) is Euler’s number ~= 2.71828,
- \(i\) is the imaginary unit, \(\sqrt{-1}\), and
- \(\pi\) is pi ~= 3.14159.
Euler’s Formula #
More generally, for any number (even complex) \(x\), Euler’s Formula says that
$$e^{ix} = \cos(x) + i\sin(x)$$