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Fungrim entry: 508e2c

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:a∈C  and⁡  b∈Ca \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("508e2c"),
    Formula(Equal(Sin(Sub(a, b)), Sub(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.

2021-03-15 19:12:00.328586 UTC