The cousin
The German word 'der Cousin' is used to refer to a male cousin. It is a masculine noun and is capitalized in German. The plural form is 'die Cousins'. In German, there is no distinction between a cousin on the mother's side and a cousin on the father's side, unlike in some other languages.
My mother's cousin visited us yesterday.
The phrase translates directly as 'The cousin of my mother visited us yesterday', where 'Der Cousin' means 'The cousin'. The possessive pronoun 'meiner' represents 'of my' in English, detailing the relationship of the speaker to the cousin.
I met my friend's cousin at a party.
The sentence translates as 'I met the cousin of my friend at a party'. Here, 'Der Cousin' stands for 'The cousin', and the possessive pronoun 'meines' is used for 'of my', denoting the relationship between the friend and the cousin.
My father's cousin is named Michael.
This sentence directly translates to 'The cousin of my father is called Michael'. Here, 'Der Cousin' is 'The cousin', and 'meines' is a possessive pronoun indicating 'of my', explaining the relationship of the father and the cousin.