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Fungrim entry: 742943

sin ⁣(a+b)=sin(a)cos(b)+cos(a)sin(b)\sin\!\left(a + b\right) = \sin(a) \cos(b) + \cos(a) \sin(b)
Assumptions:aC  and  bCa \in \mathbb{C} \;\mathbin{\operatorname{and}}\; b \in \mathbb{C}
TeX:
\sin\!\left(a + b\right) = \sin(a) \cos(b) + \cos(a) \sin(b)

a \in \mathbb{C} \;\mathbin{\operatorname{and}}\; b \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Sinsin(z)\sin(z) Sine
Coscos(z)\cos(z) Cosine
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("742943"),
    Formula(Equal(Sin(Add(a, b)), Add(Mul(Sin(a), Cos(b)), Mul(Cos(a), Sin(b))))),
    Variables(a, b),
    Assumptions(And(Element(a, CC), Element(b, CC))))

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

2020-04-08 16:14:44.404316 UTC