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Convert UMC to Lat/Lon


mossoi
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I've have the following formulae to convert latitude and longitude to UTM:

 

lon_utm = lon * 20037508.34 / 180

lat_utm = Math.log(Math.tan((90 + lat) * Math.PI / 360)) / (Math.PI / 180) * 20037508.34 / 180

 

I need the equivalent formulae to reverse this. Longitude I can do:

 

lon = lon_utm / 20037508.34 * 180

 

but I'm completely stuck on latitude (I'm a programmer not a mathematician!)

 

Can anybody give me some help or point me in the right direction please?

Edited by mossoi
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