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 $\sin \theta = \frac { 1 } { 8 }$
A) $- \frac { 1 } { 8 }$
B) $\frac { 1 } { 8 }$
C) $- 8$
D) 8

Question

Quizplus · Accepted Answer

The cosecant function is the reciprocal of the sine function, so $\csc \theta = \frac{1}{\sin \theta}$. Given $\sin \theta = \frac{1}{8}$, $\csc \theta = \frac{1}{\frac{1}{8}} = 8$.

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

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