The sign inside the parenthesis is the OPPOSITE of the sign between terms.
cos(x + y) = cos(x)cos(y) - sin(x)sin(y)
So yes, it means what you said!
In this page: LINK
In the second yellow table, they have an equation
Why exactly do they have different symbols, plus minus and minus plus?
Does it mean that if the first sign is minus then the other has to be plus and vice versa?