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Chapter 4: Problem 76

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is in the correct mode.) $$\sec 225^{\circ}$$

Short Answer

Expert verified
The value of \(\sec(225^{\circ})\) to four decimal places will be based on the reciprocal of the calculated value of \(\cos(225^{\circ})\). Your calculator will help you get the numerical solution.

Step by step solution

01

Convert secant to cosine

Secant is the reciprocal of cosine. Therefore, \(\sec(x) = \frac{1}{\cos(x)}\). Thus \(\sec(225^{\circ}) = \frac{1}{\cos(225^{\circ})}\).
02

Use the calculator to find cosine

Using a calculator, find the value of \(\cos(225^{\circ})\), making sure it is set to degree mode.
03

Evaluate secant function

Once you get the value of \(\cos(225^{\circ})\), take its reciprocal to get the value of \(\sec(225^{\circ})\).
04

Round the value

Round the answer to four decimal places

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