entspannt
relaxed
Describes a person who is internally calm, composed, and not stressed.
Nach dem Yoga-Kurs fühlte er sich völlig entspannt.
After the yoga class, he felt completely relaxed.

relaxed
Loading your saved state.
relaxed
Describes a person who is internally calm, composed, and not stressed.
Nach dem Yoga-Kurs fühlte er sich völlig entspannt.
After the yoga class, he felt completely relaxed.

'Entspannt' (relaxed) is the past participle of the verb 'sich entspannen' (to relax). The corresponding noun is 'die Entspannung' (relaxation). All three words describe a state of calm and composure.
Nach einem langen Bad fühle ich mich immer total entspannt.
After a long bath, I always feel totally relaxed.
The prefix 'ent-' often means the opposite or the removal of something. 'Spannen' means 'to tense', so 'entspannen' literally means 'to take away the tension'.
Atme tief durch, damit sich deine Muskeln entspannen.
Take a deep breath so that your muscles relax.
When describing a person, 'entspannt' (relaxed) is often intensified with adverbs like 'völlig' (completely), 'total' (totally), or 'tief' (deeply) to express the degree of calm.
Er wirkte vor der Prüfung erstaunlich entspannt.
He seemed surprisingly relaxed before the exam.
To describe a situation, 'entspannt' (relaxed) is often combined with nouns like 'Atmosphäre' (atmosphere), 'Stimmung' (mood), 'Lage' (situation), or 'Gespräch' (conversation).
Wir hatten einen sehr entspannten Abend mit Freunden.
We had a very relaxed evening with friends.
cool
'cool' and 'entspannt' can both mean that someone stays calm and does not show stress. 'cool' is colloquial and fits especially well when someone seems composed in a difficult situation. It can also sound a little admiring. 'entspannt' is more neutral and describes inner calm or a relaxed atmosphere. Learners may confuse the words because both express calmness. In practice: a person can 'cool bleiben' (stay cool) in an exam, but an evening, a conversation, or a mood is more likely to be 'entspannt' (relaxed).

Die Stimmung im Team ist heute entspannt.
The mood in the team is relaxed today.
Du bist beim Streit im Supermarkt erstaunlich cool geblieben.
You stayed surprisingly cool during the argument in the supermarket.