Taylor Series Error Approximation for $\tan(2x)$

I'm completely lost on what to do here.

(a) Find the $$3$$rd degree Taylor polynomial for $$f(x) = \tan(2x)$$, around $$x = 0$$.

(b) Suppose you know $$f^{(4)}(x) < 130$$ if $$0 < x < .1$$; use this and (a) to approximate $$\tan(.2)$$, and determine the maximum error possible in doing so.

I understand that the second part of the problem indicates using the Lagrange remainder but I am not sure how to go about approximating the value other than plugging $$(.2)$$ into the Taylor polynomial. Any help would be greatly appreciated!