Final answer:
José de San Martín played a vital role in the independence movements of Argentina, Chile, and Peru, leading armies and achieving freedom for these countries.
Step-by-step explanation:
José de San Martín had a significant impact on Latin American independence movements. He played a crucial role in achieving independence for Argentina, Chile, and Peru. In 1816, San Martín helped Argentina gain freedom, and in 1819, he led an army to liberate Chile. He further supported the fight for Peruvian independence. His military leadership and strategic efforts were essential in securing independence for these countries.