Question

in which quadrant does theta lie if the following statements are true:cot theta < 0 and sin theta > 0

Answer 1

Given :

`\begin{gathered} \cot \theta<0 \\ \sin \theta>0 \end{gathered}`

From the first condition cot θ < 0 , mean θ will be in the second or the fourth quadrant

From the second condition sin θ > 0 , mean θ will be the first or in the second quadrant.

So, the common between the conditions is that :

θ will be in the second quadrant