From WikiLatino

Puerto Ricans often proudly identify themselves as Boricua, loosely based on Boriqueño (archaic), both words originating from the Taíno word Boriken (also known as Boriquén, Borinquen, or Borinquén), to illustrate their recognition of the island's original Taíno heritage. The word Boriken, which translates to "the great land of the valiant and noble Lord", was used by the original Taíno Indian population to refer to the island of Puerto Rico before the arrival of the Spanish. The use of the word Boricua has been popularized in the island and abroad by descendents of Puerto Rico heritage, commonly using the phrase, "Yo soy Boricua" ("I am Boricua", or "I am Puerto Rican") to identify themselves as Puerto Ricans. Another variation which is also widely used is Borincano which translated means "from Borinquen."