Question

In which quadrant is the terminal side of an angle measuring 8π/7 radians if it is placed in standard position?

Answer 1

We can divide the quadrant as:

If we have an angle that is 8π/7, we can aproximate 8/7 and see in which quadrant it falls.

As 8/7 is greater than 1 but less than 2, we know that it has to be in the 3rd or 4th quadrant.

As 8/7 is smaller than 3/2, we can conclude it is in the third quadrant.

`(8)/(7)\pi\approx1.14\pi`
`\pi<1.14\pi<1.5\pi`

Answer: the angle 8π/7 is located in the third quadrant.