The coordinates of the point on the unit circle corresponding to an angle of radians are .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of converting angles from radians to degrees and identifying the corresponding coordinates on the unit circle.
Key Concept Explanation
The unit circle has a periodicity of radians, meaning that any angle can be reduced to an equivalent angle within the range of to . The coordinates of the point on the unit circle for a given angle are .
Step-by-step Solution
1. Convert the angle to degrees:
2. Determine the reference angle:
3. Identify the quadrant: is in the third quadrant, where and
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