Geometry

Question Analysis  

The question asks for the unit circle coordinates at 30°, focusing on applying 30-60-90 triangle ratios in Quadrant I.  

 

Key Concept Explanation  

30-60-90 Triangle: In a right triangle with angles 30°-60°-90°, the sides are in the ratio . For the unit circle (radius = 1), the legs correspond to cosine (adjacent) and sine (opposite) values.  

 

Step-by-Step Solution  

1. Recall 30-60-90 ratios:  

Adjacent side (to 30°) = , Opposite side = , Hypotenuse = .  

2. Scale to unit circle (hypotenuse = 1):  

Divide all sides by 2: Adjacent = , Opposite = .  

3. Assign to coordinates:  

Click "Show Answer" to reveal the answer and analysis