indeed / actual
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indeed / really
Confirms that something is truly the case or is the case in reality. It is used to emphasize a fact or express surprise.
Ich dachte, er scherzt, aber er hat es tatsächlich getan.
I thought he was joking, but he actually did it.
The word is derived from 'die Tatsache' (the fact), which means 'fact'. So 'tatsächlich' (indeed/really/actual) literally means 'corresponding to the facts' or 'like a fact'.
Die tatsächliche Situation ist komplizierter, als sie scheint.
The actual situation is more complicated than it seems.
'Tatsächlich' means 'in fact' or 'really' and confirms something. Don't confuse it with the English 'actually', which often introduces a correction or contrast and is usually translated as 'eigentlich'.
Er sieht jung aus, aber er ist tatsächlich schon über 50.
He looks young, but he is actually already over 50.
'Tatsächlich' can be used as an adverb (unchanging) or as an adjective (changing). As an adverb, it modifies the whole sentence or a verb. As an adjective, it stands before a noun and is declined.
Er hat den Job tatsächlich bekommen. (Adverb)
He actually got the job. (Adverb)
already
'schon' and 'tatsächlich' can both emphasize that something really is the case. Here, 'schon' is often a short confirmation in spoken language, for example when you admit or emphasize something. 'tatsächlich' emphasizes more strongly that something matches reality, often with a bit of surprise too. If you want to say clearly that something really happened or is true, 'tatsächlich' is more precise. 'schon' sounds more natural when the confirmation is part of a conversation.
Der Bus ist am Wochenende tatsächlich pünktlich gekommen.
The bus actually arrived on time at the weekend.
In der Werkstatt war die Reparatur schon teuer, aber sie hat sich gelohnt.
The repair at the garage really was expensive, but it was worth it.