Geometry

Question Analysis  

The question asks in which quadrants sin θ is positive, focusing on the sign of sine related to the y-coordinate in the unit circle.  

Key Concept Explanation  

Sin θ corresponds to the y-coordinate on the unit circle:  

Positive where y > 0 (Quadrants I and II).  

Negative where y < 0 (Quadrants III and IV).  

ASTC rule: Sin is positive in Quadrant I (All) and II (Students).  

Step-by-Step Solution  

1. Recall the y-coordinate sign in each quadrant:  

Q1: y > 0 → Sin (+)  

Q2: y > 0 → Sin (+)  

Q3: y < 0 → Sin (-)  

Q4: y < 0 → Sin (-)  

2. Thus, sin θ is positive in Quadrant I and II.  ...