Question

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

Explanation:

Step1: Recall the sign of trigonometric functions in each quadrant

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: \(\sin\theta< 0\), \(\cos\theta>0\)

Answer:

Quadrant II