Question

name the quadrant in which the angle θ lies. sin θ > 0, cos θ < 0 choose the correct answer below. quadrant ii quadrant iv quadrant iii quadrant i

Explanation:

Step1: Recall sine - cosine signs in quadrants

In Quadrant I: $\sin\theta> 0,\cos\theta>0$. In Quadrant II: $\sin\theta> 0,\cos\theta < 0$. In Quadrant III: $\sin\theta<0,\cos\theta < 0$. In Quadrant IV: $\sin\theta<0,\cos\theta>0$.

Step2: Match given conditions

Given $\sin\theta>0,\cos\theta < 0$, this matches the sign - pattern of Quadrant II.

Answer:

Quadrant II