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 $\sin \theta = - 0.2817$
A) $- 3.550$
B) $3.550$
C) $1.775$
D) $- 1.775$

Question

Quizplus · Accepted Answer

The cosecant function is the reciprocal of the sine function, so $\csc \theta = \frac{1}{\sin \theta}$. Given $\sin \theta = -0.2817$, $\csc \theta = \frac{1}{-0.2817} \approx -3.550$.

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

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