Respuesta :
Answer:
Second quadrant.
Step-by-step explanation:
The given angle is
[tex]\frac{2 \pi}{3}[/tex]
To know where this angle terminates, first, we need to transform it into degrees.
We know that [tex]\pi = 180 \°[/tex]
So,
[tex]\frac{2 \pi}{3}=\frac{2 (180\°)}{3}=2(60\°)=120\°[/tex]
Now, each quadrant is delimited by an angle interval:
- I quadrant from 0° to 90°.
- II quadrant from 90° to 180°.
- III quadrant from 180° to 270°.
- IV quadrant from 270° to 360°.
Our angle is 120°, that means it terminates inside the second quadrant, because it's determined by the range 90° - 180°, and 120° is inside.
Therefore, the given angle terminates in the second quadrant.
