unabhängig
independent
Not controlled or ruled by other people, states, or powers; autonomous, sovereign.
Das Land wurde 1960 unabhängig.
The country became independent in 1960.

independent
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independent
Not controlled or ruled by other people, states, or powers; autonomous, sovereign.
Das Land wurde 1960 unabhängig.
The country became independent in 1960.

The word has a clear structure: the prefix 'un-' means 'not', and 'abhängig' comes from the verb 'abhängen' (to depend). So 'unabhängig' (independent) literally means 'not dependent on something or someone'.
Sie möchte eine unabhängige Entscheidung treffen.
She wants to make an independent decision.
'Unabhängig' (independent) is almost always used with the preposition 'von' (from / of) and the dative. This construction shows what the independence consists of.
Er ist finanziell unabhängig von seinen Eltern.
He is financially independent from his parents.
In a political context, 'unabhängig' (independent) is often combined with nouns such as 'Staat' (state), 'Land' (country), or 'Nation' (nation). A common phrase is 'unabhängig werden' (to become independent).
Viele ehemalige Kolonien sind heute unabhängige Staaten.
Many former colonies are independent states today.
In this meaning, the word is often supplemented by adverbs such as 'finanziell' (financially) or 'wirtschaftlich' (economically) to specify the type of independence.
Durch den neuen Job ist sie nun wirtschaftlich unabhängig.
Thanks to the new job, she is now economically independent.
When it comes to neutrality, 'unabhängig' (independent) often describes people or institutions that are supposed to be impartial, e.g. 'unabhängige Medien' (independent media), 'eine unabhängige Kommission' (an independent commission), or 'ein unabhängiger Experte' (an independent expert).
Eine unabhängige Untersuchung soll die Ursache des Unfalls klären.
An independent investigation is to determine the cause of the accident.
When used to introduce a sentence, 'Unabhängig von...' (regardless of...) is in position 1. The verb of the main clause then moves directly after it into position 2.
Unabhängig von seiner Meinung werden wir das Projekt starten.
Regardless of his opinion, we will start the project.
despite
'trotz' and 'unabhängig von' can both express that something does not have a decisive influence. However, 'trotz' emphasizes a counter-reason: there is a problem or obstacle, but something happens anyway. 'Unabhängig von' sounds more neutral and means: one thing does not matter for the decision or the result. Learners may confuse the words because both are often connected to 'egal ob' (no matter whether) or 'obwohl' (although). As a guide: when there is an obstacle, 'trotz' fits better. When you are saying generally that something is not a condition, 'unabhängig von' fits better.

Die Kurse finden unabhängig vom Wetter im Gemeindehaus statt.
The courses take place in the community center regardless of the weather.
Trotz seiner Kopfschmerzen geht Max zur Prüfung.
Despite his headache, Max is going to the exam.