The coordinates of the point on the unit circle corresponding to an angle of are .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the student's ability to find the coordinates of a point on the unit circle for a given negative angle.
Key Concept Explanation
The coordinates of any point on the unit circle can be expressed as . For a negative angle, we convert it to a positive angle within the range of 0°-360°.
Step-by-step Solution
1. Convert the negative angle to a positive angle:
2. Identify the reference angle for :
3. Determine the cosine and sine values for :
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