Identify the quadrant for the angle satisfying the following conditions.
-Find $\csc \theta$, given that $\sin \theta = - \frac { 2 } { 3 }$ and $\theta$ is in quadrant IV.
A) $\frac { 3 \sqrt { 7 } } { 7 }$
B) $- \frac { 3 } { 2 }$
C) $- \frac { \sqrt { 7 } } { 9 }$
D) $\frac { 5 } { 4 }$

Question

Quizplus · Accepted Answer

In quadrant IV, sine is negative, so $\csc \theta = \frac{1}{\sin \theta} = -\frac{3}{2}$.

Identify the Quadrant for the Angle Satisfying the Following Conditions csc⁡θ\csc \thetacscθ

Identify the Quadrant for the Angle Satisfying the Following Conditions $\csc \theta$