Question

5.7 part 1
score: 5/13 answered: 5/13
question 6
evaluate the given expression to four decimal places with a calculator.
\\( \sec ^ { - 1 } ( 7.4 ) = \\)
question help: video ebook message instructor

Explanation:

Step1: Use the identity $\sec^{-1}x=\cos^{-1}(\frac{1}{x})$

So, $\sec^{-1}(7.4)=\cos^{-1}(\frac{1}{7.4})$

Step2: Calculate $\frac{1}{7.4}$

$\frac{1}{7.4}\approx0.1351$

Step3: Calculate $\cos^{-1}(0.1351)$ using a calculator

Set the calculator to radian mode. $\cos^{-1}(0.1351)\approx1.4326$

Answer:

$1.4326$