The Lagrange form of the remainder after $n$ terms of the Taylor series for $f(x) = \sin(x)$ centered at $x=0$ is $R_n(x) = \frac{f^{(n+1)}(c)}{(n+1)!}x^{n+1}$ for some $c$ between $0$ and $x$. If you approximate $\sin(0.5)$ using the first 4 terms of the Maclaurin series, what is the maximum error?