Determine the quadrant in which an angle, θ, lies if θ = 8π / 7

a. 3rd quadrant
b. 1st quadrant
c. 4th quadrant
d. 2nd quadrant

1 answer

8π / 7= π + (1/7)π
so just a bit more than π,
so in quadrant III

here is a "sneaky way"
set your calculator to radians
take sin 8π/7 to get a negative
take cos 8π/7 to get a negative
the only quadrant in which both sine and cosine are negative is III