Geometry

Question Analysis  

Determine the y-coordinate of a unit circle point in Quadrant I with , focusing on axis-aligned angles.  

 

Key Concept Explanation  

Unit Circle Equation: .  

Axis Angles: The point lies on the y-axis. In Quadrant I, this corresponds to the positive y-axis (), where .  

 

Step-by-Step Solution  

1. Apply the unit circle equation:  

.  

2. Simplify:  

.  

3. Solve for (Quadrant I implies y > 0):  

.  

 

Common Mistakes  

Forgetting that

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