# Documentation

Convert azimuth angle to broadside angle

## Syntax

`BSang = az2broadside(az,el)`

## Description

`BSang = az2broadside(az,el)` returns the broadside angle `BSang` corresponding to the azimuth angle, `az`, and the elevation angle, `el`. All angles are expressed in degrees and in the local coordinate system. `az` and `el` can be either scalars or vectors. If both of them are vectors, their dimensions must match.

## Examples

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### Broadside Angle for Scalar Inputs

Return the broadside angle corresponding to 45 degrees azimuth and 45 degrees elevation.

`BSang = az2broadside(45,45);`

### Broadside Angles for Vector Inputs

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

```az = (75:5:120)'; el = (45:5:90)'; BSang = az2broadside(az,el);```

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

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

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

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