Question

use a calculator to find the value of the trigonometric expression.
\csc 8

\csc 8 = \square (round to four decimal places as needed.)

Explanation:

Step1: Recall cosecant definition

$\csc\theta = \frac{1}{\sin\theta}$

Step2: Calculate $\sin(8^\circ)$

$\sin(8^\circ) \approx 0.139173101$

Step3: Compute reciprocal of $\sin(8^\circ)$

$\csc8 = \frac{1}{0.139173101} \approx 7.1853$

Answer:

7.1853