What are the degrees that define Quadrant I in the unit circle?

Study for the Accuplacer Advanced Algebra and Functions Test. Use flashcards and multiple choice questions, each question offers hints and explanations. Ace your exam preparation!

In the context of the unit circle, Quadrant I is defined as the section where both the x and y coordinates are positive. The angles that lie in Quadrant I range from 0 degrees to 90 degrees.

The correct answer lists the degrees 0, 30, 45, and 60, all of which fall within this range. Specifically, these angles correspond to well-known positions on the unit circle where trigonometric functions can be easily evaluated. For instance, at 0 degrees, the coordinates are (1,0); at 30 degrees, they are (√3/2, 1/2); at 45 degrees, they're (√2/2, √2/2); and at 60 degrees, they are (1/2, √3/2). Each of these points has positive x and y values, confirming that they reside in Quadrant I.

The other options provide angles that either fall outside the first quadrant or include values that are not entirely contained within the acceptable boundaries of 0 to 90 degrees, thus failing to represent Quadrant I correctly.

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