This is the 113th most frequent Polish word.
tak
"Tak" in Polish means "yes" in English.
In this sentence, 'tak' is used as an affirmative adverb meaning 'yes', directly indicating agreement.
Tak, zgadzam się z tobą.
Yes, I agree with you.
Here, 'tak' functions as an adverb meaning 'so', intensifying the adjective 'well' to describe the extent of the skill.
Nie wiedziałem, że on tak dobrze gra na gitarze.
I didn't know he plays the guitar so well.
In this example, 'tak' acts as an adverb meaning 'as' or 'just as', introducing a manner similar to what is stated.