Problem 13

Question

Use a calculator to approximate the value. Round your answer to two decimal places. \(\operatorname{arcsec} 1.269\)

Step-by-Step Solution

Verified
Answer
The approximate value of \(\operatorname{arcsec} 1.269\), rounded to two decimal places, will be the result of the calculation explained above. Please remember to use your own calculator to determine the result.
1Step 1: Convert from secant to cosine
The secant is the reciprocal of the cosine function. So, \(\operatorname{arcsec}(1.269) = \arccos\left(\frac{1}{1.269}\right)\).
2Step 2: Use a calculator
Now, use a calculator to find the value of \(\arccos\left(\frac{1}{1.269}\right)\). Remember to set your calculator to radian mode because by default, most calculators use degrees.
3Step 3: Round to two decimal places
Once you have the answer from your calculator, round this number to two decimal places.