I'm having trouble with the following question:

Let f(x) = sinx and P5(x) be the fifth-order Maclaurin polynomial for f.

a) What does Theorem 2 imply about the maximum approximation error committed by P5 over the interval [-2,2]?

b) What is the maximum actual approximation error committed by P5 over the interval [-2,2]?

Any help would be greatly appreciated .