Discussion
In which quadrant does \( \theta \) lie if \( \sin\theta > 0 \) and \( \cos\theta < 0 \)?
Answer: B
The signs of the ratios identify the quadrant.
- Quadrant I: both positive
- Quadrant II: \( \sin > 0 \), \( \cos < 0 \) ✓
- Quadrant III: both negative
- Quadrant IV: \( \sin < 0 \), \( \cos > 0 \)
So \( \theta \) lies in the second quadrant. The mnemonic "all, sine, tangent, cosine" names the ratio that is positive in each quadrant in turn.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development