In a coordinate system, the signs of the sine, cosine, and tangent functions in each quadrant are as follows:
- Quadrant I: sine is positive, cosine is positive, tangent is positive.
- Quadrant II: sine is positive, cosine is negative, tangent is negative.
- Quadrant III: sine is negative, cosine is negative, tangent is positive.
- Quadrant IV: sine is negative, cosine is positive, tangent is negative.
Given that sine is negative, cosine is positive, and tangent is negative, the correct quadrant is Quadrant IV.