How to convert Set to String[]?

I need to get a String[] out of a Set<String>, but I don’t know how to do it. The following fails:

Map<String, ?> myMap = gpxlist.getAll();
Set<String> myset = myMap.keySet();
String[] GPXFILES1 = (String[]) myset.toArray(); // Here it fails.

How can I fix it so that it works?