Chapter 13.2, Problem 19WE

To determine

To find: The value number $x$ if $0\le x\le \frac{\pi }{2}$.

Answer to Problem 19WE

The value of $x$ is $1.382$ .

Explanation of Solution

Given information:

The given information is $\csc x=1.018$ .

Calculation:

Calculate the value of $\sin x$ .

  $\begin{array}{c}\sin x=\frac{1}{\csc x}\\ =\frac{1}{1.018}\\ =0.9823\end{array}$

Setting the calculator in radian mode using the inverse function

  $\begin{array}{c}\sin x=0.9823\\ x={\sin }^{-1}\left(0.9823\right)\\ x=1.382\end{array}$

Therefore, the value of $x$ is $1.382$ .