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Basic greetings:
Hej - Hallo - Hi/Hello ("ej" in Danish sounds like "ei" in German).Godmorgen - Guten Morgen - Good morning (the d at the end of the Danish god is silent, and Danish "g"s that aren't at the front of the word are often silent, like the "t" in how we say "mountain" in Colorado! So this phrase sounds like "goh-mor'en").
Goddag - Guten Tag - Hello/Good day (the "a" in Danish is often very similar to the "ä" in German, so this phrase sounds like "goh-day").
Godaften - Guten Abend - Good evening (or goh-ayf'en).
Hej-hej/Vi ses - Tschüss/Auf Wiedersehen/Bis später - Goodbye.
Tak - Bitte/Danke - Please/Thank you (so, the "a" in tak is like the "a" in German, so it sounds like "tahk" and not the English "take". A small note; Danish doesn't have a word for "please", so people simply say tak after asking for something).