Name the quadrant in which the angle θ lies.
-$\cos \theta

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

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

Quizplus · Accepted Answer

The cosine function is negative in the second and third quadrants, while the cosecant function (reciprocal of sine) is negative in the third and fourth quadrants. The only quadrant where both conditions are met (cosine and cosecant both negative) is the third quadrant.

Name the Quadrant in Which the Angle θ Lies cos⁡θ<0,csc⁡θ<0\cos \theta < 0 , \quad \csc \theta < 0cosθ<0,cscθ<0

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