die Ostküste
east coast
The eastern coastal strip of a country or continent, especially in reference to the USA.
Viele bekannte Universitäten der USA liegen an der Ostküste.
Many well-known universities in the USA are located on the East Coast.

east coast
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east coast
The eastern coastal strip of a country or continent, especially in reference to the USA.
Viele bekannte Universitäten der USA liegen an der Ostküste.
Many well-known universities in the USA are located on the East Coast.

'Ostküste' (east coast) is a compound noun made up of the cardinal direction 'der Osten' (the east) and 'die Küste' (the coast). So it literally describes the coast that lies in the east of an area.
Die Ostküste Australiens ist berühmt für ihre Strände.
The east coast of Australia is famous for its beaches.
To describe a location, you use the preposition 'an' with the dative: 'an der Ostküste' (on the east coast). Movement toward it is expressed with 'an' and the accusative: 'an die Ostküste' (to the east coast).
Er lebt und arbeitet an der Ostküste.
He lives and works on the east coast.
Although every country can have an east coast, in German usage, without further context, 'die Ostküste' (the east coast) often means the East Coast of the USA. The context of the conversation usually makes this clear.
Sie studiert an einer berühmten Universität an der Ostküste.
She studies at a famous university on the East Coast.
east
'der Osten' and 'die Ostküste' both have to do with an eastern location. 'der Osten' is general: it can be a cardinal direction or the eastern part of a country, city, or region. 'die Ostküste' is much more specific. It only refers to the coastal strip in the east of a country or continent. The words can be confused when talking about a country by the sea. But not every east is an east coast. You use 'Ostküste' only when it is really about a coast.

Auf ihrer Reise besucht sie die Ostküste der USA.
On her trip, she visits the East Coast of the USA.
Meine Freundin wohnt im Osten der Stadt, nicht am Meer.
My friend lives in the east of the city, not by the sea.