Answer:
[tex]\frac{3\pi}{4}[/tex]
Step-by-step explanation:
Recall that co-terminal angles are angles which when drawn at standard position share a terminal side. Since we are restricted to the interval [0,2π], recognize that [tex]\frac{19\pi}{4}=\frac{16\pi}{4}+\frac{3\pi}{4}=4\pi+\frac{3\pi}{4}=2\pi+2\pi+\frac{3\pi}{4}=\frac{3\pi}{4}[/tex]. So, the co-terminal angle is [tex]\frac{3\pi}{4}[/tex].