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Chapter 4: Problem 85

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is in the correct mode.) $$\tan \frac{\pi}{9}$$

Short Answer

Expert verified
The solution will derive from the calculator's output for \(\tan(\frac{\pi}{9})\), rounded to four decimal places. Since the output differs with each calculator, the precise answer may vary slightly.

Step by step solution

01

Ensure your calculator is in the correct mode

This task requires trigonometry calculations, therefore, make sure your calculator is set to the radian mode. The target function here is a tangent and the input \(\frac{\pi}{9}\) is in radians, thus the calculator must be set to radians.
02

Enter the value into the calculator

Once the calculator is in the right mode, input the shown function which is: \(\tan(\frac{\pi}{9})\). Keep in mind to input the function exactly as it is shown. Enter \(\pi\) as it's usually available in scientific calculators or replace it with an approximation like 3.14159.
03

Round to four decimal places

After entering the above function on your calculator, you will receive a numeric value. Your task will be to round off this numeric value to the nearest four decimal places, depending upon the precise number rules.

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