Identify the quadrant or quadrants for the angle ϴ satisfying the given conditions.
- $\cot \theta > 0$ and $\sin \theta < 0$

Question

Identify the quadrant or quadrants for the angle ϴ satisfying the given conditions.
-$\cot \theta > 0$ and $\sin \theta < 0$
A) Quadrant I
B) Quadrant III
C) Quadrant II
D) Quadrant IV

Quizplus · Accepted Answer

$\cot \theta > 0$ implies that $\theta$ is in quadrants I or III. $\sin \theta < 0$ implies that $\theta$ is in quadrants III or IV. Therefore, the only quadrant that satisfies both conditions is quadrant III.

Identify the Quadrant or Quadrants for the Angle ϴ Satisfying cot⁡θ>0\cot \theta > 0cotθ>0

Identify the Quadrant or Quadrants for the Angle ϴ Satisfying $\cot \theta > 0$