Determine the quadrant in which an angle, θ, lies if .
A)4th quadrant
B)2nd quadrant
C)1st quadrant
D)3rd quadrant

Question

Determine the quadrant in which an angle, θ, lies if  .
A)4th quadrant 
B)2nd quadrant 
C)1st quadrant 
D)3rd quadrant

Quizplus · Accepted Answer

In standard position, an angle in the 4th quadrant has a positive x-coordinate and a negative y-coordinate. The given value of sin(θ) is negative, which means y-coordinate is negative. Also, the given value of cos(θ) is positive, which means x-coordinate is positive. Thus, the angle θ lies in the 3rd quadrant.

Determine the Quadrant in Which an Angle, θ, Lies If