Question

in which quadrant is sine negative cosine positive and tangent negative

Answer 1

In the context of the unit circle and the signs of the trigonometric functions in different quadrants, we can summarize the signs of sine, cosine, and tangent as follows:

- **Quadrant I**: All functions are positive (sin > 0, cos > 0, tan > 0)
- **Quadrant II**: Sine is positive, cosine is negative, tangent is negative (sin > 0, cos < 0, tan < 0)
- **Quadrant III**: Sine is negative, cosine is negative, tangent is positive (sin < 0, cos < 0, tan > 0)
- **Quadrant IV**: Sine is negative, cosine is positive, tangent is negative (sin < 0, cos > 0, tan < 0)

Given the conditions of sine being negative, cosine being positive, and tangent being negative, the correct quadrant is **Quadrant IV**.