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

Answer:

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

Calculate the degree of 5п 8 radians:

$\frac{5\pi }{8} =\frac{5*180}{8} =\frac{900}{8} =112.5$

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

It's between 120°($\frac{2\pi }{3}$) and 90°($\frac{\pi }{2}$).

Find the quadrant it lies in:

Quadrant II