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 $\sin \theta = - 0.2305$
A) $- 2.169$
B) $2.169$
C) $- 4.338$
D) $4.338$

Question

Quizplus · Accepted Answer

The cosecant function is the reciprocal of the sine function. Therefore, $\csc \theta = \frac{1}{\sin \theta}$. Given $\sin \theta = -0.2305$, $\csc \theta = \frac{1}{-0.2305} \approx -4.338$.

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

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