The name is a feminine form of Cosmas. It was introduced into Germany through Cosima Wagner (1837-1930) the daughter of Hungarian composer, Franz Liszt and the wife of German composer, Richard Wagner. She was the director of the Beyreuth Festival for 31 years.
Currently, Cosima is the 416th most popular female name in Germany, (2011). German supermodel, Claudia Schiffer, recently chose this name for her youngest daughter, Cosima Violet (b. 2010), as did writer and director Sofia Coppola the same year. It is also the name of Lady Cosima Windsor (b.2010) and Australian pop singer, Cosima De Vito.
Another German for is Kosima.