The difference between Cool-headed and Quick-tempered
When used as adjectives, cool-headed means calm and imperturbable, especially under pressure, whereas quick-tempered means easily or quickly angered or frustrated.
check bellow for the other definitions of Cool-headed and Quick-tempered
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Cool-headed as an adjective:
Calm and imperturbable, especially under pressure.
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Quick-tempered as an adjective:
Easily or quickly angered or frustrated.
Examples:
"He was a quick-tempered fellow who was generally avoided by his co-workers."