Problem 66
Question
Use a calculator to find the value of the trigonometric function to four decimal places. $$\sec 1$$
Step-by-Step Solution
Verified Answer
Without knowing the unit used for 1 (degree or radians), we cannot accurately give a numeric answer. However, for the procedure from step 1 to step 3, the result will be the four decimal point value of \(\sec 1\) for the unit used.
1Step 1: Transform Sec into Cosine
Transform the \(\sec 1\) into \(1/\cos 1\). This converts the problem into a form that can be done directly using the calculator. Even if the calculator does not have the secant function, it surely will have the cosine function.
2Step 2: Calculate \(\cos 1\)
Use the calculator to find the value of \(\cos 1\). Make sure that the calculator is set to the correct mode (degrees or radians) based on the given values.
3Step 3: Calculate \(1/\cos 1\)
Divide 1 by the result obtained in step 2. This will give the value of \(\sec 1\).
Other exercises in this chapter
Problem 66
In Exercises \(61-86,\) use reference angles to find the exact value of each expression. Do not use a calculator. $$\tan 405^{\circ}$$
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Graph one period of each function. $$y=\left|2 \cos \frac{x}{2}\right|$$
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