Question

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

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

Answer:

Quadrant II