Question

In what quadrant does the angle 2x/3 terminate?

Answer 1

If you mean 2pi/3 it terminates in the second quadrant

Answer 2

Second quadrant.

Explanation:

The given angle is

`(2 \pi)/(3)`

To know where this angle terminates, first, we need to transform it into degrees.

We know that
`\pi = 180 \°`

So,

`(2 \pi)/(3)=(2 (180\°))/(3)=2(60\°)=120\°`

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.