Geometry

Question Analysis  

The main focus is to find the coordinates on the unit circle for the angle (210°) using (x-coordinate) and (y-coordinate), considering its position in the third quadrant.  

 

Key Concept Explanation  

On the unit circle, coordinates for are . For angles in the third quadrant ( < < ), both and are negative. has a reference angle of (30°).  

 

Step-by-Step Solution  

1. Find the reference angle:  

Reference angle = .  

2. Apply quadrant signs:  

In QIII, both and are negative.  

3. Use values:  

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