Final answer:
The claim that détente increased political and military tensions is false; it was a period marked by a reduction in tensions and improved diplomatic relations during the Cold War. Therefore, the given statement is false.
Step-by-step explanation:
The statement that 'détente led to the increase of political and military tensions between capitalist and communist countries across the world' is false. Détente refers to the relaxation of tensions and improved relations between the United States and the Soviet Union during the Cold War. This period witnessed significant developments, such as arms control agreements, opening of diplomatic relations with China, and recognition of spheres of influence that, while complex, aimed to reduce the risk of direct conflict between the superpowers and their allies.
From a historical perspective, détente represented an easing of the global standoff despite ongoing proxy wars and regional conflicts. While some in America were skeptical of détente, believing it either did not go far enough in terms of addressing the injustices of Soviet influence or that it represented a weakening of anti-Communist resolve, the overall strategy was aimed at stepping back from the brink of nuclear war and stabilizing international relations.