Related to a phrase in Li Zhi's Ming-dynasty 《焚书·杂述·豫约》: 从容应答, 不敢慢之 — 'to respond unhurriedly, never disdainful.' The variant 从容应对 is the form current in modern Mandarin, preserving the Ming sense of unrushed, dignified handling of questions.
usage
Strongly positive — praises composure under pressure. Typical contexts: interviews, exams, crises, negotiations, press conferences. Often contrasted with 手忙脚乱 (frantic and flustered).