SSC CHSL 2025 · PYQ · Trigonometry · medium
If tan θ = 5/12 and θ is in Quadrant III, what is the value of sin θ?
Answer
The correct answer is D: -5/13. With tan θ = 5/12, the hypotenuse = 13 (Pythagorean triplet 5-12-13). In Quadrant III, both sin and cos are negative.
- A.12/13
- B.-12/13
- C.5/13
- D.-5/13✓ Correct
With tan θ = 5/12, the hypotenuse = 13 (Pythagorean triplet 5-12-13). In Quadrant III, both sin and cos are negative. Therefore sin θ = −5/13.
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