I have two(of many) tables in a music database:
Concerts: ArtistID, ConcertID, ConcetName, VenueID
ConcertDetails: ConcertDate, ConcertID, Cost
The ConcertDetails tables as you see, uses ConcertID which is also in the Concerts table.
I combined ConcertDate & ConcertID to make a Composite Primary Key for ConcertDetails.
However since this relates to ConcertID from Concerts table, it also needs to be a Foreign Key. Is this ok to do?
Yes, of course. It's common for a subset of a primary key to be a foreign key. Any many-to-many table does this for instance. In your case:
CREATE TABLE ConcertDetails (
ConcertDate DATE NOT NULL,
ConcertID INT NOT NULL,
PRIMARY KEY (ConcertDate, ConcertID),
FOREIGN KEY (ConcertID) REFERENCES Concerts(ConcertID)
);