Geometry

Question Analysis  

Find the unit circle coordinates for , focusing on the circle’s vertical axis intersection.  

 

Key Concept Explanation  

Unit Circle Definition: At , the terminal side lies on the positive y-axis.  

Radius = 1, so x = 0 (no horizontal component), y = 1 (full vertical component).  

 

Step-by-Step Solution  

1. Angle Orientation: is a vertical angle, pointing upward along the y-axis.  

2. Coordinates: On the unit circle, this corresponds to .  

 

Common Mistakes  

Confusing with (which is ) or other quadrant angles.  

Forgetting that x = 0 at the y-axis.  

 

Summary  

The unit circle coordinates for are .  

Problem-Solving Tips:  

Visualize the unit circle: is the topmost point.  

Remember:

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