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Chapter 4: Problem 35

Use a calculator to evaluate the expression. Round your result to two decimal places. $$\tan ^{-1} \frac{19}{4}$$

Short Answer

Expert verified
To solve this using a calculator, follow these steps - 1) Make sure your calculator is in degrees mode. 2) Enter 'tan-1(19/4)' into your calculator. 3) Round the displayed result to 2 decimal places.

Step by step solution

01

Understand the function

You are asked to evaluate the inverse tangent (arctan or \( \tan^{-1} \)) of the fraction \( \frac{19}{4} \). The inverse tangent function is the inverse of the tangent function, which usually appears on a scientific calculator as 'tan-1' or 'arctan'.
02

Evaluate the function

Plug \( \frac{19}{4} \) into the inverse tangent function on your calculator. Make sure your calculator is in degrees mode before you do this calculation, unless otherwise specified.
03

Round the result

The value that your calculator displays may be a number with many decimal places. The next step is to round this result to two decimal places. Always remember that if the third decimal place is 5 or more, you will need to round up.

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