Frederico Costa began his musical studies at the age of 10, at the Conservatorio Regional de Ponta Delgada, in the organ class of Prof. Cristiana Spadaro. He participated in masterclasses of organ with João Vaz, José Luis González Uriol, François Espinasse, Edite Rocha and in masterclasses of harpsichord with Ana Mafalda Castro and Choral Conducting with Jonathan Ayerst and Brett Scott. He also participated in several workshops and courses of ancient music, such as the International Course of Ancient Music, taught by Prof. João Vaz, as well as a Masterclass in Organ and Improvisation with Prof. Lionel Rogg and Prof. Franz Stoiber. In 2016, he was a part of school project the Organum Vocale choir, with the coordination of prof. Paulo Lourenço.
Since 2016 he has been collaborating as a tenor in the Ricercare choir, in the chamber choir of ESML and occasionally as a reinforcement in the choir of the Calouste Gulbenkian Foundation, conducted by various personalities such as Gustavo Dudamel, Paulo Lourenço, Jorge Matta, Susanna Mälkki and Paul McCreesh.
He is currently studying pipe organ at the Escola Superior de Musica de Lisboa in the class of prof. António Esteireiro and Prof. João Vaz, and also studies choral conducting with Gonçalo Lourenço.