Chapter 12.4, Problem 18OE

To determine

Find the measure of acute angle $\left(\theta \right)$ for the function $\csc \theta =1.095$ to the nearest tenth of a degree.

Answer to Problem 18OE

The acute angle $\left(\theta \right)$ is $66.0°$ .

Explanation of Solution

Given information: The given function is $\csc \theta =1.095$ .

Calculation: The value of acute angle $\left(\theta \right)$ for the given function $\csc \theta =1.095$ is evaluated as,

  $\begin{array}{c}\csc \theta =1.095\\ \theta ={\csc }^{-1}\left(1.095\right)\\ =66.0°\end{array}$