Assumptions:
TeX:
\sin\!\left(\frac{\pi}{2} + \pi k\right) = {\left(-1\right)}^{k}
k \in \mathbb{Z}Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| Sin | Sine | |
| Pi | The constant pi (3.14...) | |
| Pow | Power | |
| ZZ | Integers |
Source code for this entry:
Entry(ID("506d0c"),
Formula(Equal(Sin(Add(Div(Pi, 2), Mul(Pi, k))), Pow(-1, k))),
Variables(k),
Assumptions(Element(k, ZZ)))