In the unit circle, which quadrant has angles ranging from 270 to 360 degrees?

In the unit circle, angles are measured from the positive x-axis, moving counterclockwise. The circle is divided into four quadrants based on the angles:

• Quadrant I covers angles from 0 to 90 degrees.

• Quadrant II spans angles from 90 to 180 degrees.

• Quadrant III includes angles from 180 to 270 degrees.

• Quadrant IV encompasses angles from 270 to 360 degrees.

Therefore, the range of angles from 270 to 360 degrees falls within Quadrant IV. In this quadrant, the sine values are negative, and the cosine values are positive, which characterizes the coordinates of points in that section of the circle. It is important to recognize that 270 degrees corresponds to the negative y-axis, and 360 degrees brings you back to the positive x-axis, confirming that the angles in this range belong specifically to Quadrant IV.