Hi I need help with this problem...

Construct the first three nonzero terms and the general term of the Maclaurin series generated by the function and give the interval of convergence:

$\displaystyle cos(x+2)$

In a page of my textbook it gives the general Maclaurin series for just cos(x) but when I ask my teacher whether it's just simply plugging in the (x+2), she says it's not. The question also gives the hint that $\displaystyle cos(x+2) = (cos2)(cosx)-(sin2)(sinx)$ but I am not sure what you can do with this hint?