Choose the one alternative that best completes the statement or answers the question.
In the problem, sin θ and cos θ are given. Find the exact value of the indicated trigonometric function.
-$\sin \theta = \frac { 2 \sqrt { 2 } } { 3 } , \cos \theta = \frac { 1 } { 3 } \quad$ Find $\csc \theta$
A) $\frac { \sqrt { 15 } } { 15 }$
B) $\frac { 3 \sqrt { 2 } } { 4 }$
C) $\sqrt { 15 }$
D) $\frac { 4 \sqrt { 15 } } { 15 }$

Question

Quizplus · Accepted Answer

The cosecant function is the reciprocal of the sine function. Therefore, $\csc \theta = \frac{1}{\sin \theta} = \frac{1}{\frac{2\sqrt{2}}{3}} = \frac{3}{2\sqrt{2}} = \frac{3\sqrt{2}}{4}$.

Choose the One Alternative That Best Completes the Statement or Answers