Geometry

Question Analysis  

The main focus is to determine the coordinates  on the unit circle for the angle  using  (x-coordinate) and  (y-coordinate), noting its position in the first quadrant.  

 

Key Concept Explanation  

On the unit circle, coordinates for an angle  are . For  (a special angle), the values derive from an isosceles right triangle with legs of length  and hypotenuse , giving .  

 

Step-by-Step Solution  

1. Recognize the special angle:  

 is a special angle with equal sine and cosine values in QI.  

2. Apply trigonometric values: