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Chapter 4: Problem 38

Use a calculator to evaluate the expression. Round your result to two decimal places. $$\tan ^{-1}(-\sqrt{2165})$$

Short Answer

Expert verified
The final answer will depend on the result obtained from each individual's calculator. Ensure each calculation is executed in order (square root, then negation, then arctan) and rounded to two decimal places for the final answer.

Step by step solution

01

Calculate the square root

Calculate the square root of 2165. The order is essential; the square root is done before negating the number.
02

Apply the negative sign

Now that the square root of 2165 has been calculated, apply the negative sign to it. This gives us the negative of the square root.
03

Calculate the arctangent

Now, calculate the arctan (the inverse tangent) of the negative square root obtained in the previous step. This step is best done using a scientific calculator. The calculator might have a button labelled 'tan^-1' or 'atan' for the arctan function. Make sure the calculator is set to the degree mode, as expected in most high school exercises.
04

Round to two decimal places

Finally, round the result obtained in the previous step to two decimal places. This is the final answer.

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Most popular questions from this chapter

For the simple harmonic motion described by the trigonometric function, find (a) the maximum displacement, (b) the frequency, (c) the value of \(d\) when \(t=5,\) and (d) the least positive value of \(t\) for which \(d=0 .\) Use a graphing utility to verify your results. $$d=\frac{1}{4} \sin 6 \pi t$$

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