Fungrim entry: 18f40c

\sin(z) = \frac{{e}^{i z} - {e}^{-i z}}{2 i}

Assumptions:

z \in \mathbb{C}

TeX:

\sin(z) = \frac{{e}^{i z} - {e}^{-i z}}{2 i}

z \in \mathbb{C}

Definitions:

Fungrim symbol	Notation	Short description
`Sin`	$\sin(z)$	Sine
`Exp`	${e}^{z}$	Exponential function
`ConstI`	$i$	Imaginary unit
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("18f40c"),
    Formula(Equal(Sin(z), Div(Sub(Exp(Mul(ConstI, z)), Exp(Mul(Neg(ConstI), z))), Mul(2, ConstI)))),
    Variables(z),
    Assumptions(Element(z, CC)))

Topics using this entry

Sine

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC