Identify the quadrant of an angle
Answer 1
Sophia Williams
Given an angle of $135°$, determine the quadrant in which this angle lies on the unit circle.
The unit circle is divided into four quadrants:
Quadrant I:
txt1
txt1
txt1
°$ to $90°$
Quadrant II: $90°$ to $180°$
Quadrant III: $180°$ to $270°$
Quadrant IV: $270°$ to $360°$
Since $135°$ is greater than $90°$ and less than $180°$,
$135°$
lies in Quadrant II.
Answer 2
Abigail Nelson
Given an angle of $225°$, determine the quadrant in which this angle lies on the unit circle.
The unit circle is divided into four quadrants:
Quadrant I:
txt2
txt2
txt2
°$ to $90°$
Quadrant II: $90°$ to $180°$
Quadrant III: $180°$ to $270°$
Quadrant IV: $270°$ to $360°$
Since $225°$ is greater than $180°$ and less than $270°$,
$225°$
lies in Quadrant III.
Answer 3
Thomas Walker
Given an angle of $315°$, identify the quadrant it falls into on the unit circle.
The unit circle is divided into:
Quadrant I:
txt3
txt3
txt3
°$ to $90°$
Quadrant II: $90°$ to $180°$
Quadrant III: $180°$ to $270°$
Quadrant IV: $270°$ to $360°$
Since $315°$ is between $270°$ and $360°$,
$315°$
lies in Quadrant IV.
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