# Documentation

Convert broadside angle to azimuth angle

## Syntax

`az = broadside2az(BSang,el)`

## Description

`az = broadside2az(BSang,el)` returns the azimuth angle, `az`, corresponding to the broadside angle `BSang` and the elevation angle, `el`. All angles are in degrees and in the local coordinate system. `BSang` and `el` can be either scalars or vectors. If both of them are vectors, their dimensions must match.

## Examples

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### Azimuth Angle for Scalar Inputs

Return the azimuth angle corresponding to a broadside angle of 45 degrees and an elevation angle of 20 degrees.

`az = broadside2az(45,20);`

### Azimuth Angles for Vector Inputs

Return azimuth angles for 10 pairs of broadside angle and elevation angle. The variables `BSang`, `el`, and `az` are all 10-by-1 column vectors.

```BSang = (45:5:90)'; el = (45:-5:0)'; az = broadside2az(BSang,el);```

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### Azimuth Angle

The azimuth angle az corresponding to a broadside angle β and elevation angle el is:

$az={\mathrm{sin}}^{-1}\left(\mathrm{sin}\left(\beta \right)\mathrm{sec}\left(el\right)\right)$

where –90 ≤ el ≤ 90, –90 ≤ β ≤ 90, and –180 ≤ az ≤ 180 .

Together the broadside and elevation angles must satisfy the following inequality:

$|\beta |+|el|\text{ }\text{ }\le 90$