Answer
The graphs do not appear to coincide.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/d40d5dd4-6f82-406a-a1ce-00df904b9c7a/result_image/1584006633.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T013725Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=03564f935eb4a2c35212c5eb7373a11ed43bd227aed02dcc09ffe6ae8004b9a2)
Work Step by Step
The graphs of $y=\cos\frac{x}{2}$ (the red graph) and $y=\frac{1}{2} \cos x$ (the blue graph) do not coincide.
For $x=\pi$ we have$$\cos \frac{\pi }{2}=0 \neq -\frac{1}{2} = \frac{1}{2} \cos \pi .$$