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Fungrim entry: f7ab32

sin(z)=cos(z)\sin'(z) = \cos(z)
Assumptions:zCz \in \mathbb{C}
TeX:
\sin'(z) = \cos(z)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
ComplexDerivativeddzf ⁣(z)\frac{d}{d z}\, f\!\left(z\right) Complex derivative
Sinsin(z)\sin(z) Sine
Coscos(z)\cos(z) Cosine
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("f7ab32"),
    Formula(Equal(ComplexDerivative(Sin(z), For(z, z, 1)), Cos(z))),
    Variables(z),
    Assumptions(Element(z, CC)))

Topics using this entry

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