Geometry

Question Analysis  

The question asks which angle has the same cot θ as 60°, focusing on identifying angles in different quadrants with identical cotangent values. Cotangent is the reciprocal of tangent (), so it depends on the sign and ratio of cosine to sine.  

 

Key Concept Explanation  

Cotangent and Quadrants: Cot θ is positive in QI and QIII (where tan θ is positive) and negative in QII and QIV (where tan θ is negative).  

Reference Angles: Angles in QIII that share a reference angle with QI have the same cot θ 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° (QI).  

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

QIII angle = .  

3. Verify cotangent values:  

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