Determine the Quadrant of a Given Angle in the Unit Circle
Answer 1
Matthew Carter
Given an angle of 120 degrees, determine which quadrant it lies in on the unit circle.
Step 1: Recognize that the unit circle is divided into 4 quadrants:
Quadrant I: 0° to 90°
Quadrant II: 90° to 180°
Quadrant III: 180° to 270°
Quadrant IV: 270° to 360°.
Step 2: Since 120° is between 90° and 180°, it lies in Quadrant II.
Answer: Quadrant II
Answer 2
Olivia Lee
Given an angle of 240 degrees, determine which quadrant it lies in on the unit circle.
Step 1: Identify the ranges of each quadrant:
Quadrant I: 0° to 90°
Quadrant II: 90° to 180°
Quadrant III: 180° to 270°
Quadrant IV: 270° to 360°.
Step 2: Since 240° is between 180° and 270°, it lies in Quadrant III.
Answer: Quadrant III
Answer 3
Ava Martin
Given an angle of 45 degrees, determine which quadrant it lies in on the unit circle.
Since 45° is between 0° and 90°, it lies in Quadrant I.
Answer: Quadrant I
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