> For the complete documentation index, see [llms.txt](https://documentation.soulver.app/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://documentation.soulver.app/de/syntax-referenz/general/trigonometry.md).

# Trigonometrie & Konstanten

### Mathematische Konstanten

| Name                      | Wert            |
| ------------------------- | --------------- |
| Pi oder π                 | 3.1415926536…   |
| Tau (2pi)                 | 6.2831853072... |
| Phi (der goldene Schnitt) | 1.6180339887... |

### Trigonometrische Funktionen

| Function | Beschreibung                                          |
| -------- | ----------------------------------------------------- |
| sin()    | Berechnet den Sinus eines Werts                       |
| sinh()   | Berechnet den hyperbolischen Sinus eines Werts        |
| asinh()  | Berechnet den hyperbolischen Arkussinus eines Werts   |
| cos()    | Berechnet den Kosinus eines Werts                     |
| cosh()   | Berechnet den hyperbolischen Kosinus eines Werts      |
| acosh()  | Berechnet den hyperbolischen Arkuskosinus eines Werts |
| tan()    | Berechnet den Tangens eines Werts                     |
| tanh()   | Berechnet den hyperbolischen Tangens eines Werts      |
| atanh()  | Berechnet den hyperbolischen Arkustangens eines Werts |

{% hint style="info" %}
Trigonometrische Funktionen verwenden standardmäßig Radiant.

Wenn du Grad verwenden möchtest, gib das im Parameter an oder hänge "d" an den Funktionsnamen an:

sin(90 degrees) = 1.0

sind(90) = 1.0
{% endhint %}

### Inverse trigonometrische Funktionen

| Function | Beschreibung                               |
| -------- | ------------------------------------------ |
| asin()   | Berechnet den inversen Sinus eines Werts   |
| acos()   | Berechnet den inversen Kosinus eines Werts |
| atan()   | Berechnet den inversen Tangens eines Werts |

{% hint style="info" %}
Inverse trigonometrische Funktionen geben standardmäßig einen Wert in Radiant zurück.

Wenn du Grad verwenden möchtest, gib das im Parameter an oder hänge "d" an den Funktionsnamen an:

asin(0.5 degrees) = 30º

asind(0.5) = 30º
{% endhint %}


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