Geometry

Question Analysis  

The question asks which angle has the same sin θ as 60°, focusing on identifying angles in different quadrants with identical sine values (same y-coordinate on the unit circle).  

 

Key Concept Explanation  

Sine and Quadrants: Sin θ is positive in QI and QII, negative in QIII and QIV.  

Reference Angles: Angles in QII that share a reference angle with QI have the same sine value. For 60° (QI), the corresponding QII angle is .  

 

Step-by-Step Solution  

1. Identify the reference angle for 60°:  

Reference angle = 60° (already in QI).  

2. Find the QII angle with the same reference angle:  

QII angle = .  

3. Verify sine values:  

,  

.  

 

Option Analysis  

240°: Incorrect. ...