Here are a few places for you to try:

Free

• I tend to look for everything in iTunes (http://www.apple.com/itunes/download/ ). I found a free Podcast called Learn Danish with Copenhagencast.com (You can find more here http://www.copenhagencast.com/ ). There are also free pdf files and a Danish-only audio file. I listened to the beginning of a lesson, she sounds like a native sppeaker.
  
• You can learn useful phrases on About.com: http://goscandinavia.about.com/od/knowledgesafety/a/danphrases.htm

Costs Money

• Teach Yourself Danish: http://www.speakdanish.dk/ It's an interactive Danish course with audio, however it does cost €129 (wow! $166). The first lesson is free (http://www.speakdanish.dk/html/day1conv.htm ) so you can try it out and see if you like it before you decide to buy. 
• Rosetta Stone is supposed to be a really good program. They do have software for learning Danish (http://www.rosettastone.com/personal/languages/danish ). Level 1 is $219. A 6-month online subscription is $299.95. You can view a free online demo by entering your email address: http://www.rosettastone.com/personal/form/flash-demo-form
  
• You can also always buy a language book (w/ or w/o audio) from a bookstore or try amazon.com (http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Daps&field-keywords=danish&x=0&y=0 )

I hope this helps!
Source(s):
see above


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