Question

An angle in standard position measures 5п 8 radians. In which quadrant does the terminal side of this angle lie? O Quadrant I II Quadrant Quadrant IIT Quadrant IV​

Answer 1

I've attached a picture of a unit circle with the quadrant labeled.

Calculate the degree of 5п 8 radians:

`(5\pi )/(8) =(5*180)/(8) =(900)/(8) =112.5`

Locate the general location of 112.5° on the unit circle:

It's between 120°(
`(2\pi )/(3)`) and 90°(
`(\pi )/(2)`).

Find the quadrant it lies in:

Quadrant II