If sin θ < 0 and cot θ > 0, name the quadrant in which the angle θ lies?
- 4th quadrant
- 3rd quadrant
- 2nd quadrant
- None of these
Explanation
Given:
sin θ < 0 (sine is negative)
cot θ > 0 (cotangent is positive)
Since cot θ = cos θ / sin θ, and cot θ > 0, we know that cos θ and sin θ must have the same sign (both positive or both negative).
Given sin θ < 0, cos θ must also be negative.
The quadrant where both sine and cosine are negative is the 3rd quadrant.
Related MCQs
- 2x + 2
- 2x - 8
- 2x - 5
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 2x² + 4 = 9x
- 2x² + 9 = 4x
- 2x² + 9 = 4x
- x² + 4 = 9x
اس سوال کو وضاحت کے ساتھ پڑھیں
