In Exercises 27–38, use a calculator to find the value of each ex...

Question

In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places.
___
tan⁻¹ (−√473)

Accepted Answer

Hello. Today we're going to be evaluating the following expression by using a calculator. So what we are given is tangent inverse of negative square root 289. Now, before you enter this into a calculator, you must make sure that the mode of the calculator is in radiance. Whenever you are working with trigonometric expressions and a calculator, the calculator must be set to radiance so that you get the most accurate results. So when you plug in tangent inverse of negative two square root 289 into a calculator, you're going to end up getting a never ending decimal. That decimal should be approximately negative 1. 2040 and so on. So we're going to need to reduce the value of this decimal. Well, the question asks us to keep three significant figures of the decimal. And what this means is that we want to keep the first three nonzero digits of the decimal. The first non 30 digits is going to be 1. 1.51 is going to have to be rounded to the hundreds place we're going to take a look at the digit to the right one, which is two, since this value is less than five, we are going to keep 1.51 as our value. So that means that the value of tangent inverse of negative square root 289 is going to be negative 1.51 to 3 significant figures. And with that being said, the answer to this problem is going to be d so I hope this video helps you in understanding how to approach this problem. And I'll go ahead and see you all in the next video.

In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places. ___ tan⁻¹ (−√473)

Key Concepts

Inverse Trigonometric Functions

Calculator Functions

Rounding Numbers

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