A point on the unit circle satisfies and . The angle (within 0°-360°) is _________.
Answer & Analysis
Analysis
Question Analysis
This problem requires students to use the given -coordinate and tangent value to determine the angle on the unit circle.
Key Concept Explanation
The unit circle coordinates are given by . The tangent function is defined as . The signs of and depend on the quadrant in which the angle lies.
Step-by-step Solution
1. Given , so
2. Given , so
3. Therefore,
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