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 $\sin \theta = \frac { 1 } { 4 }$
A) 4
B) $\frac { 1 } { 4 }$
C) $- \frac { 1 } { 4 }$
D) $- 4$

Question

Quizplus · Accepted Answer

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

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

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