The difference between Cool-headed and Hot-tempered
When used as adjectives, cool-headed means calm and imperturbable, especially under pressure, whereas hot-tempered means becoming very vocal or even violent when angered or frustrated.
check bellow for the other definitions of Cool-headed and Hot-tempered
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Cool-headed as an adjective:
Calm and imperturbable, especially under pressure.
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Hot-tempered as an adjective (colloquial, usually, said of a person, but sometimes of an animal):
Becoming very vocal or even violent when angered or frustrated.