Which of the following angles is in standard position and lies in the third quadrant?
Options
A
B
C
D
Answer & Analysis
Answer
C
Analysis
To determine which angle is in the third quadrant, we need to understand the definition of "standard position" and the layout of the coordinate plane:
1. Standard Position: An angle is in standard position if its initial side lies along the positive -axis, and the angle is measured counterclockwise if it is positive and clockwise if it is negative.
2. Quadrants:
- Quadrant I: to
- Quadrant II: to
- Quadrant III: to
- Quadrant IV: to
Let’s analyze each choice:
A) : This angle lies in the second quadrant (between
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