Name the quadrant in which the angle θ lies.
- $\cot \theta < 0 , \quad \cos \theta > 0$

Name: Name the quadrant in which the angle θ lies. -$\cot \theta 0$ A) I B) II C) III D) IV
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Question

Name the quadrant in which the angle θ lies.
-$\cot \theta < 0 , \quad \cos \theta > 0$
A) I
B) II
C) III
D) IV

Quizplus · Accepted Answer

The cotangent function is negative when the sine and cosine functions have opposite signs, which occurs in the second and fourth quadrants. However, since cosine is positive, this narrows it down to the fourth quadrant, where cosine is positive and sine is negative.

Name the Quadrant in Which the Angle θ Lies cot⁡θ<0,cos⁡θ>0\cot \theta < 0 , \quad \cos \theta > 0cotθ<0,cosθ>0

Name the Quadrant in Which the Angle θ Lies $\cot \theta < 0 , \quad \cos \theta > 0$