22. What is the direction of the rotation of a negative angle in standard position?*A. clockwiseB. counterclockwiseC. no rotationD. straight
Question
22. What is the direction of the rotation of a negative angle in standard position?
- A. clockwise
- B. counterclockwise
- C. no rotation
- D. straight
Solution
Analysis of the Question
In mathematics, particularly in trigonometry and geometry, the direction of rotation for angles is commonly defined as follows:
-
Standard Position of an Angle: An angle is said to be in standard position when its vertex is at the origin of a coordinate system, and its initial side lies along the positive x-axis.
-
Positive and Negative Angles: A positive angle is measured counterclockwise from the initial side, while a negative angle is measured clockwise.
Answer Selection
Given the options:
- A. clockwise
- B. counterclockwise
- C. no rotation
- D. straight
Since the problem specifically asks for the direction of a negative angle, it is important to remember that negative angles are defined to rotate in a clockwise direction from the initial side.
Conclusion
Thus, the correct answer to the question regarding the direction of the rotation of a negative angle in standard position is:
A. clockwise
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