Assumptions:
TeX:
\cos(z) + i \sin(z) = {e}^{i z}
z \in \mathbb{C}Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| Cos | Cosine | |
| ConstI | Imaginary unit | |
| Sin | Sine | |
| Exp | Exponential function | |
| CC | Complex numbers |
Source code for this entry:
Entry(ID("adbc1a"),
Formula(Equal(Add(Cos(z), Mul(ConstI, Sin(z))), Exp(Mul(ConstI, z)))),
Variables(z),
Assumptions(Element(z, CC)))