Find the Maclaurin polynomial of order n (n odd) for sin x. Then use it with n = 5 to approximate each of the following. (This example should convince you that the Maclaurin approximation can be exceedingly poor if x is far from zero.) Compare your answers with those given by your calculator. What conclusion do you draw?
(a) Sin(0.1)
(b) Sin(0.5)
(c) Sin(1)
(d) Sin(10)