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Chapter 4: Problem 88

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is in the correct mode.) $$\sec 0.29$$

Short Answer

Expert verified
The secant of 0.29 rounded to four decimal places is found by following the four mentioned steps: setting the calculator to radian mode, calculating the cosine of 0.29, finding the reciprocal of this value, and then rounding it to four decimal places. Please do this process and put your final decimal number here.

Step by step solution

01

Set Calculator Mode

First, ensure that the calculator is set correctly. The question does not specify if the angle is in radians or degrees, but since the input is a decimal, it can be assumed it's in radians. Typically, a calculator is set in degrees by default. So, check and if necessary, change it to radian mode.
02

Calculate Cosine Value

Next, find the cosine of the given angle. Using the input value of 0.29 radians, calculate \(\cos(0.29)\) using your calculator.
03

Find the Reciprocal

The value from Step 2 is the cosine value. To find the secant, calculate the reciprocal of this value. If the cosine value obtained is 'a', then \(\sec(0.29) = 1 / a\).
04

Round the Result

After finding the secant value, round it to four decimal places as the question instructs.

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