Identify the quadrant for the angle θ satisfying the following conditions.
- $\cot \theta < 0$ and $\cos \theta > 0$

Question

Identify the quadrant for the angle θ satisfying the following conditions.
-$\cot \theta < 0$ and $\cos \theta > 0$
A) Quadrant II
B) Quadrant I
C) Quadrant III
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, the angle must be in Quadrant IV, where cosine is positive and sine is negative.

Identify the Quadrant for the Angle θ Satisfying the Following cot⁡θ<0\cot \theta < 0cotθ<0

Identify the Quadrant for the Angle θ Satisfying the Following $\cot \theta < 0$