> 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/syntax-reference/general/trigonometry.md).

# Trigonometry & Constants

### Mathematical constants

| Name                   | Value           |
| ---------------------- | --------------- |
| Pi or π                | 3.1415926536…   |
| Tau (2pi)              | 6.2831853072... |
| Phi (the golden ratio) | 1.6180339887... |

### Trigonometric functions

| Function | Name                                           |
| -------- | ---------------------------------------------- |
| sin()    | Calculate the sine of a value                  |
| sinh()   | Calculate the hyperbolic sine of a value       |
| asinh()  | Calculate the hyperbolic arcsine of a value    |
| cos()    | Calculate the cosine of a value                |
| cosh()   | Calculate the hyperbolic cosine of a value     |
| acosh()  | Calculate the hyperbolic arccos of a value     |
| tan()    | Calculate the tangent of a value               |
| tanh()   | Calculate the hyperbolic tangent of a value    |
| atanh()  | Calculate the hyperbolic arctangent of a value |

{% hint style="info" %}
Trigonometric functions take a value in radians by default.

If you want to use degrees, specify this in the parameter, or append "d" to the function name:

sin(90 degrees) = 1.0

sind(90) = 1.0
{% endhint %}

### Inverse trigonometric functions

| Function | Name                                     |
| -------- | ---------------------------------------- |
| asin()   | Calculate the inverse sine of a value    |
| acos()   | Calculate the inverse cosine of a value  |
| atan()   | Calculate the inverse tangent of a value |

{% hint style="info" %}
Inverse trigonometric functions return a value in radians by default.

If you want to use degrees, specify this in the parameter, or append "d" to the function name:

asin(0.5 degrees) = 30º

asind(0.5) = 30º
{% endhint %}