Identify the quadrant for the angle θ satisfying the following conditions.
-$\csc \theta 0$ and $\sec \theta 0$
A) Quadrant II
B) Quadrant III
C) Quadrant I
D) Quadrant IV

Question

Identify the quadrant for the angle θ satisfying the following conditions.
-$\csc \theta > 0$ and $\sec \theta > 0$
A) Quadrant II
B) Quadrant III
C) Quadrant I
D) Quadrant IV

Quizplus · Accepted Answer

Cosecant ($\csc$) is positive when its reciprocal function, sine ($\sin$), is positive, and secant ($\sec$) is positive when its reciprocal function, cosine ($\cos$), is positive. Both sine and cosine are positive in Quadrant I, making it the only quadrant where both $\csc \theta > 0$ and $\sec \theta > 0$.

Identify the Quadrant for the Angle θ Satisfying the Following csc⁡θ>0\csc \theta > 0cscθ>0

Identify the Quadrant for the Angle θ Satisfying the Following $\csc \theta > 0$