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.

cos⁻¹ 3/8

Accepted Answer

Hello, today we're going to be evaluating the following trigonometric expression by using a calculator. So what we are given is cosine inverse of 4/9. Now, the first thing you wanna do when entering this value into a calculator is you want to make sure that the mode of the calculator is in radiance. Whenever you work with trigonometric functions, you wanna make sure that your mode is always in radiance. Now, when you enter this cosine value into a calculator, you're going to end up getting a, not a never ending decimal. The value of the decimal for cosine inverse of four or nine is given to us as 1. and so on. Now, the problem asks us that we want to keep three significant figures of this decimal. What this means is they want, we want to keep the first three non-zero values of the given decimal and the first non 30, the first three non-zero values of the decimal is going to be 1.11. So we're not going to need to round this value. Now, if we took a look at the digit to the right of one that value is zero, which means we're not going to change the last significant figure. And what this means is that the value of cosine inverse of 4/9 is going to be approximately 1.11. And with that being said, the answer to this problem is going to be a. 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.

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In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places. cos⁻¹ 3/8