Question

in which quadrant is sine negative, cosine positive, and tangent negative? (1 point) quadrant iv quadrant iii quadrant ii quadrant i

Explanation:

Step1: Recall trigonometric function signs in each quadrant

• Quadrant I: \(\sin\theta>0\), \(\cos\theta>0\), \(\tan\theta = \frac{\sin\theta}{\cos\theta}>0\)
• Quadrant II: \(\sin\theta>0\), \(\cos\theta<0\), \(\tan\theta=\frac{\sin\theta}{\cos\theta}<0\)
• Quadrant III: \(\sin\theta<0\), \(\cos\theta<0\), \(\tan\theta=\frac{\sin\theta}{\cos\theta}>0\)
• Quadrant IV: \(\sin\theta<0\), \(\cos\theta>0\), \(\tan\theta=\frac{\sin\theta}{\cos\theta}<0\)

Answer:

Quadrant IV