spite
Trotz is a German noun that translates to 'spite' in English. It is used to express a feeling of anger or resentment towards someone or something, often as a result of a perceived injustice or slight. In German, it is often used in the phrase 'aus Trotz' (out of spite), which means to do something deliberately to annoy or upset someone.
Despite the rain, we went for a walk.
The phrase uses the word 'Trotz' to express doing something despite an unfavorable condition, which in this case is the rain.
She smiled, despite the bad news.
Here, the term 'Trotz' is used to demonstrate continuing a positive behavior (smiling) despite facing a negative circumstance (bad news).
Despite his age, he is still active.
In this phrase, 'Trotz' is used to contradict the assumption that age might hinder a person's activity levels.