Chapter 4.7, Problem 128E

To determine

Find the value of the given expression.

Answer to Problem 128E

  $\boxed{2.29}$

Explanation of Solution

Given information:

Round your result to two decimal places.

  $arc\sec (-1.52)$

Calculation:

We will find out the approximate value of the expression $arc\sec (-1.52)$ with the help of a calculator. The graph for this function is as shown below.

  

We know that if $y=arc\sec x$ then its range is $0\le y\le \pi \ne \frac{\pi }{2}$ and domain is $\left|x\right|\ge 1$ .

Hence $-1.52$ lies in the domain of the arcsec function.

Now that we have checked the function domain, we will proceed to find the valuse of this expression.

From the graphing calculator Maple, we can get this value by typing in the following code.

  $\begin{array}{l}>arc\sec (-1.52)\\ 2.28881623\end{array}$

Hence $arc\sec (-1.52)=\boxed{2.29}$