Which degrees define Quadrant IV in the unit circle?

Quadrant IV in the unit circle is defined by angles that are measured from 0 degrees to 360 degrees and specifically fall between 270 degrees and 360 degrees. In this quadrant, the angles start from the negative y-axis at 270 degrees and go clockwise to the positive x-axis, reaching back to 360 degrees or 0 degrees.

The angles listed in the correct option — 270, 300, 315, 330, and 360 — are all within this range. This means they represent positions in Quadrant IV:

• 270 degrees is the starting point of Quadrant IV.

• 300 degrees is further clockwise, still in that quadrant.

• 315 degrees continues in that direction.

• 330 degrees is closer to the positive x-axis.

• 360 degrees, or 0 degrees, returns back to the positive x-axis, marking the completion of the full circle.

In contrast, the information provided in the other choices includes angles that do not fit within this quadrant's range, making them unsuitable for defining Quadrant IV. This understanding is essential when working with the unit circle and recognizing which angles correspond to specific quadrants.