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Fungrim entry: 742943

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

a \in \mathbb{C} \,\mathbin{\operatorname{and}}\, b \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Sinsin ⁣(z)\sin\!\left(z\right) Sine
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.

2019-08-21 11:44:15.926409 UTC