Use the appropriate identity to find the indicated function value. Rationalize the denominator, if applicable. If the given
value is a decimal, round your answer to three decimal places.
-$\csc \theta$, given that $\sin \theta = \frac { \sqrt { 11 } } { 6 }$
A) $\frac { \sqrt { 11 } } { 11 }$
B) $\frac { \sqrt { 11 } } { 6 }$
C) $\frac { 11 \sqrt { 11 } } { 6 }$
D) $\frac { 6 \sqrt { 11 } } { 11 }$

Question

Quizplus · Accepted Answer

The cosecant function is the reciprocal of the sine function. Therefore, $\csc \theta = \frac{1}{\sin \theta} = \frac{1}{\frac{\sqrt{11}}{6}} = \frac{6}{\sqrt{11}}$. Rationalizing the denominator gives $\frac{6 \sqrt{11}}{11}$.

Use the Appropriate Identity to Find the Indicated Function Value csc⁡θ\csc \thetacscθ

Use the Appropriate Identity to Find the Indicated Function Value $\csc \theta$