$ ext{Determine the quadrant of an angle on the unit circle}$
Answer 1
Given an angle of 150° on the unit circle, determine which quadrant it is in.
To determine which quadrant 150° is in, we note that if the angle is between 90° and 180°, it lies in the second quadrant.
Since 150° is between 90° and 180°, it is in the second quadrant.
So, the angle 150° is in the second quadrant.
Answer 2
Given an angle of 225° on the unit circle, determine which quadrant it is in.
To determine which quadrant 225° is in, we note that if the angle is between 180° and 270°, it lies in the third quadrant.
Since 225° is between 180° and 270°, it is in the third quadrant.
So, the angle 225° is in the third quadrant.
Answer 3
Given an angle of 315° on the unit circle, determine which quadrant it is in.
Since 315° is between 270° and 360°, it is in the fourth quadrant.
So, the angle 315° is in the fourth quadrant.
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