# Documentation

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# geodeticLatitudeFromGeocentric

Convert geocentric to geodetic latitude

## Syntax

``phi = geodeticLatitudeFromGeocentric(psi,F)``
``phi = geodeticLatitudeFromGeocentric(psi,F,angleUnit)``

## Description

example

````phi = geodeticLatitudeFromGeocentric(psi,F)` returns the geodetic latitude corresponding to geocentric latitude `psi` on an ellipsoid with flattening `F`.```
````phi = geodeticLatitudeFromGeocentric(psi,F,angleUnit)` specifies the units of input `psi` and output `phi`.```

## Examples

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Create a reference ellipsoid.

`s = wgs84Ellipsoid;`

Convert the geocentric latitude to geodetic latitude. The reference ellipsoid contains a flattening factor.

`geodeticLatitudeFromGeocentric(45, s.Flattening)`
```ans = 45.1924 ```

Create a reference ellipsoid.

`s = wgs84Ellipsoid;`

Convert a geocentric latitude expressed in radians to geodetic latitude. The reference ellipsoid contains a flattening factor.

`geodeticLatitudeFromGeocentric(pi/3, s.Flattening, 'radians')`
```ans = 1.0501 ```

## Input Arguments

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Geocentric latitudes of one or more points, returned as a scalar value, vector, matrix, or N-D array. Values are in units that match the input argument `angleUnit`, if supplied, and in degrees, otherwise.

Data Types: `single` | `double`

Flattening of reference spheroid, specified as a scalar value.

Data Types: `double`

Unit of measurement for angle, specified as either `'degrees'` or `'radians'`.

Data Types: `char`

## Output Arguments

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Geodetic latitude of one or more points, returned as a scalar value, vector, matrix, or N-D array. Values must be in units that match the input argument `angleUnit`, if supplied, and in degrees, otherwise.

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