Category:Euler's Identities

This category contains pages concerning Euler's Identities:

Euler's Formula

Let $z \in \C$ be a complex number.

Then:

$e^{i z} = \cos z + i \sin z$

Euler's Sine Identity

$\sin z = \dfrac {e^{i z} - e^{-i z} } {2 i}$

Euler's Cosine Identity

$\cos z = \dfrac {e^{i z} + e^{-i z} } 2$

Source of Name

This entry was named for Leonhard Paul Euler.