Practice!

Sample Problem

Which of the following lines represents θ=11π/6 in standard position on the unit circle?

Solution

θ=11π/6 is between 3π/2 and 2π

3π/2<11π/6<2π, meaning it is in Quadrant IV… the pink line is at –π/4 (halfway between 3π/2 and 2π). Therefore, the purple line is the only line in Quadrant IV that represents θ=11π/6.