Question

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

We are given $\sin\theta>0$ and $\cos\theta < 0$. This matches the sign - characteristics of Quadrant II.

Answer:

Quadrant II