Which angles in degrees are considered in Quadrant I for a trigonometric unit circle?

In the context of the unit circle and the coordinate plane, Quadrant I encompasses angles between 0 degrees and 90 degrees, inclusive. This is the region where both the x-coordinate and y-coordinate are positive.

The angles listed in the correct answer—0, 30, 45, and 60—fall within this range. Specifically:

• 0 degrees is the starting point where the positive x-axis is located.

• 30 degrees is a common reference angle, which corresponds to the sine and cosine values that are easy to remember.

• 45 degrees is significant because it is known as the angle where sine and cosine values are equal.

• 60 degrees is another well-known angle, often used in various trigonometric problems and has precise sine and cosine values.

The angles in the other choices either exceed 90 degrees or include angles in other quadrants, which do not qualify as angles in Quadrant I. For example, angles like 120, 135, 150, and 180 degrees are all located in Quadrant II or beyond, where the x-coordinate becomes negative. Similarly, angles like 270, 300, and 315 degrees are situated in Quadrants III and IV, further outside the range