Geometry

Question Analysis  

The task is to identify where tan θ is negative by analyzing the sign of in each quadrant.  

Key Concept Explanation  

Sign of tan θ: Depends on the ratio of sin θ and cos θ:  

Positive when sin and cos have the same sign (Q1, Q3).  

Negative when sin and cos have opposite signs (Q2, Q4).  

Step-by-Step Solution  

1. Quadrant I:  

Sin (+), Cos (+) →  

2. Quadrant II:  

Sin (+), Cos (-) →  

3. Quadrant III:  

Sin (-), Cos (-) →

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