Query: Which three Atlantic archipelagos did Portugal discover?
Context: Prince Henry the Navigator, son of King João I, became the main sponsor and patron of this endeavour. During this period, Portugal explored the Atlantic Ocean, discovering several Atlantic archipelagos like the Azores, Madeira, and Cape Verde, explored the African coast, colonized selected areas of Africa, discovered an eastern route to India via the Cape of Good Hope, discovered Brazil, explored the Indian Ocean, established trading routes throughout most of southern Asia, and sent the first direct European maritime trade and diplomatic missions to China and Japan.