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 $\sin \theta = \frac { \sqrt { 7 } } { 10 }$
A) $\frac { 7 \sqrt { 7 } } { 10 }$
B) $\frac { \sqrt { 7 } } { 7 }$
C) $\frac { 10 \sqrt { 7 } } { 7 }$
D) $\frac { \sqrt { 7 } } { 10 }$

Question

Quizplus · Accepted Answer

The cosecant function is the reciprocal of the sine function, so $\csc \theta = \frac{1}{\sin \theta} = \frac{1}{\frac{\sqrt{7}}{10}} = \frac{10\sqrt{7}}{7}$.

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

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