Chapter 6, Problem 15CT

To determine

The value of the expression, $\sec {229}^0$ rounded to three decimal places, using a calculator.

Answer to Problem 15CT

Solution:

The value of the expression $\sec {229}^0$ is approximately $-1.524$ .

Explanation of Solution

Given information:

The expression, $\sec {229}^0$ .

Let, the expression be $\sec {229}^0$ .

To find the value of the expression using calculator, first set the mode of calculator to degrees.

By using $\sec \left(x\right)=\frac{1}{\cos \left(x\right)}$ ,

  $\sec {229}^0=\frac{1}{\cos {229}^0}=-1.524253087$

Rounding to three decimal places gives, $\sec {229}^0\approx -1.524$ .

Hence, the value of the expression $\sec {229}^0$ is approximately $-1.524$ .