# z80:Directives:DBSIN/DBCOS/DBTAN/DWSIN/DWCOS/DWTAN

Use this directive to define trigonometric tables.

## Syntax

```   .dbsin angles_in_circle, amplitude_of_wave, start_angle, end_angle, angle_step, DC_offset
```

### Allowed inputs

First of all, you need to define the number of angles in a complete circle (cycle of the wave). For example, there are 360° in a circle, so to create a table which uses our degrees scale, use 360. A more sensible value to use would be 256, so a complete sinusoidal wave would fit into 256 angles.

Next you need to specify the amplitude of the wave. To use the range of a byte, 127 seems sensible, for example.

The next 3 arguments are used to denote which angles to generate the table from as a range. For example, to output the angles 0-179 for a half wave (when using a 360° table), you would specify 0, 179, 1. You could, for example, skip every other angle by using 0, 179, 2, or run backwards with 179, 0, -1 (note ordering of arguments!)

Last of all is the DC offset applied to your wave. 0 centers it around 0, a positive value shifts the wave up and a negative value shifts the wave down.

It might be clearer to see some pseudo-code for the way the table is generated:

```   for angle is start_angle to end_angle step angle_step
output_value(DC_offset +
amplitude_of_wave *
sin((angle / angles_in_circle) * 2π)
)
next angle
```

The .dbsin and .dwsin directives generate a sine table, .dbcos and .dwcos generate a cosine table, and .dbtan and .dwtan generate a tangent table. Needless to say, the .db* versions output bytes, the .dw* versions output words.