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

Question

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

Quizplus · Accepted Answer

The cotangent function is negative when the sine and cosine functions have opposite signs, which occurs in Quadrants II and IV. However, since cosine is positive, this narrows it down to Quadrant IV, where cosine is positive and sine is negative.

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 $\cot \theta < 0$