At the beginning of a word ㄷ is closer to t than d. But actually is neither one nor the other. The best way to know how to pronounce a word is to listen a native speaker saying it. You should also try to record yourself to compare your pronunciation with the native speaker's pronunciation. For the correct pronunciation you can use the following link http://imtranslator.net/translate-and-speak/. Just choose Korean and paste 단싱. Anyway it is better to avoid this word in everyday conversation. There are too many pitfalls. But it is alright for songs and dramas.

I would say something between D and T. But pronouncing as T would be closer, I think. Sorry. Hehe.