Answer
The graphs do not appear to coincide.
Work Step by Step
The graphs of $y=\sin \frac{x}{2}$ (the red graph) and $y=\frac{1}{2} \sin x$ (the blue graph) do not coincide.
For $x=\pi$ we have$$\sin \frac{\pi }{2}=1 \neq 0 = \frac{1}{2} \sin \pi .$$
