Question

If cot theta is greater then 0 or sin theta is smaller than 0 then terminal arm of an angle lies in quadrants

Answer 1

4th quadrant

Explanation:

Given that:

cot θ > 0 or sin θ < 0

`cot \theta = (1)/(tan \theta)`

where;

`tan \theta = (sin \theta)/(cos \theta)`

∴

If
`cot \theta = (cos \theta)/(sin \theta)>0` or sin θ < 0, then the terminal arm of the angle lies in the 4th quadrant