An angle of is in standard position. What quadrant does its terminal side lie in?
Options
A
Quadrant I
B
Quadrant II
C
Quadrant III
D
Quadrant IV
Answer & Analysis
Answer
A
Analysis
To determine the quadrant of an angle, we need to consider the sign of both the x and y coordinates. Here's a breakdown of each quadrant and the corresponding angle ranges:
Quadrant I: In this quadrant, both the x and y coordinates are positive. The angle ranges from 0° to 90°.
Quadrant II: In this quadrant, the x coordinate is negative, and the y coordinate is positive. The angle ranges from 90° to 180°.
Quadrant III: In this quadrant, both the x and y coordinates are negative. The angle ranges from 180° to 270°.
Quadrant IV: In this quadrant, the x coordinate is positive, and the y coordinate is negative. The angle ranges from 270° to 360° (or 0° to -90°).
The angle lies between
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