Use the cofunction identities to find an angle that makes the statement true.
-Find $\csc \theta$ if $\sin \theta = - \frac { 2 } { 3 }$ and $\theta$ is in quadrant IV.
A) $- \frac { \sqrt { 7 } } { 9 }$
B) $\frac { 5 } { 4 }$
C) $- \frac { 3 } { 2 }$
D) $\frac { 3 \sqrt { 7 } } { 7 }$

Question

Quizplus · Accepted Answer

The cosecant function is the reciprocal of the sine function, so $\csc \theta = \frac{1}{\sin \theta}$. Given $\sin \theta = - \frac{2}{3}$, $\csc \theta = - \frac{3}{2}$.

Use the Cofunction Identities to Find an Angle That Makes csc⁡θ\csc \thetacscθ

Use the Cofunction Identities to Find an Angle That Makes $\csc \theta$