State the quadrant of the terminal side of $\theta$ using the information given. csc $\theta$ < 0,
Tan $\theta$ > 0

Question

State the quadrant of the terminal side of $\theta$ using the information given. csc$\theta$ < 0,
Tan$\theta$ > 0
A) QI
B) QII
C) QIII
D) QIV

Quizplus · Accepted Answer

Since cscF1F1F1S1F1F1F10 is negative, we know that sine (sin) is also negative in the quadrant where the terminal side of the angle lies. The only quadrants where sine is negative are QIII and QIV. Since tan is positive in QIII and negative in QIV, and we know tan is positive, we can conclude that the terminal side of the angle lies in QIII. Therefore, the answer is choice C) QIII.

State the Quadrant of the Terminal Side Of θ\thetaθ Using the Information Given

State the Quadrant of the Terminal Side Of $\theta$ Using the Information Given