$ ext{Find the Quadrant of a Given Angle on the Unit Circle}$

Answer 1

To determine the quadrant in which the angle 150° lies, we first convert it to radians:

$150° \times \frac{\pi}{180°} = \frac{5\pi}{6}$

The angle $\frac{5\pi}{6}$ is greater than $\frac{\pi}{2}$ but less than $\pi$. Hence, it lies in the second quadrant.

Answer 2

Given the angle (315°), we will convert it to radians:

$315° imes frac{pi}{180°} = frac{7pi}{4}$

The angle (frac{7pi}{4}) is greater than (frac{3pi}{2}) but less than (2pi). Thus, it lies in the fourth quadrant.

Answer 3

To find the quadrant of the angle (frac{11pi}{6}):

(frac{11pi}{6}) is greater than (frac{3pi}{2}) but less than (2pi), so it lies in the fourth quadrant.