\begin{tabular}{l|l}\( \begin{array}{l}\text { Find a calculator } \\ \text { approximation of the } \\ \text { following. Be sure you } \\ \text { calculator is in radian mode. }\end{array} \) & \( \begin{array}{l}\boldsymbol{\operatorname { c s c }}(3.8602) \approx \square \\ \text { (Round to four decimal places.) }\end{array} \) \\ \( \csc (3.8602) \) & \end{tabular}

To find the cosecant of an angle, you first need to remember that it is the reciprocal of the sine function. So, you would use a calculator to find \( \sin(3.8602) \) and then take the reciprocal of that value. When you do this, you should get approximately \( \csc(3.8602) \approx -1.4142 \) (rounded to four decimal places). Now, while working with a calculator, make sure to double-check that it's set to radian mode. Misplacing the setting can lead to wildly inaccurate results! It's a common oversight but can easily throw you off track when working with trigonometric functions.