Subjects trigonometry

Unit Circle Angle

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Unit Circle Angle


1. **Problem Statement:** We need to find the angle created when the terminal point is located at the positive y-axis in a unit circle. 2. **Understanding the Unit Circle:** The unit circle is a circle with radius 1 centered at the origin (0,0) in the coordinate plane. 3. **Angles on the Unit Circle:** Angles are measured from the positive x-axis, moving counterclockwise. 4. **Terminal Point on Positive y-axis:** The positive y-axis corresponds to the point (0,1) on the unit circle. 5. **Angle Corresponding to (0,1):** This point is reached after rotating $90^\circ$ from the positive x-axis. 6. **Conclusion:** Therefore, the angle created is $90^\circ$. **Final Answer:** $90^\circ$