Geometry

Question Analysis  

The question asks which angle has the same tan θ as 60°, focusing on identifying angles in different quadrants with identical tangent values (same sign and magnitude).  

 

Key Concept Explanation  

Tangent and Quadrants: Tan θ is positive in QI and QIII, negative in QII and QIV.  

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

 

Step-by-Step Solution  

1. Identify the reference angle for 60°:  

Reference angle = 60° (already in QI).  

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

QIII angle = .  

3. Verify tangent values:  

,