The Function $f(x)=\sin x+0.5$ Can Be Approximated by the Function $g(x)=0.5+x-\frac{x^{3}}{6}+\frac{x^{5}}{120}$ on What Interval Do the Two Graphs Look Similar

Multiple Choice

The function $f(x) =\sin x+0.5$ can be approximated by the function $g(x) =0.5+x-\frac{x^{3}}{6}+\frac{x^{5}}{120}$ . On what interval do the two graphs look similar?

A) $-\pi<x<0$
B) $0<x<\pi$
C) $-\frac{\pi}{2}<x<\frac{\pi}{2}$