The difference between Cool-headed and Short-tempered
When used as adjectives, cool-headed means calm and imperturbable, especially under pressure, whereas short-tempered means easily angered.
check bellow for the other definitions of Cool-headed and Short-tempered
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Cool-headed as an adjective:
Calm and imperturbable, especially under pressure.
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Short-tempered as an adjective:
Easily angered; frequently losing one's temper.
Examples:
"She is so short-tempered that people avoid her company."