Find a calculator approximation to four decimal places for eac...

Question

Find a calculator approximation to four decimal places for each circular function value.

sec 7.3159

Accepted Answer

Welcome back everyone. In this problem, we want to determine the value of the trigonometric circular function of the second of 9.2694 with the help of a calculator. And we want to round our answer to four decimal places for our answer choices. A is negative 1.0122. B is 1.0122 C is negative 0.9879 and D is 0.9879. Now, if we're going to determine this value, our calculator can help us based on our question here. So that means we're going to put the second the second of 9.2694. We're going to put this expression directly into our calculator. Now, there are two things to note here. First, this value is in radiance. This angle is written in radiance. So that means on your calculator, you have to ensure that it's in radiant mode. Now, some of you may see a button on your calculator that says R ad or it may be in the top part of the, in, in one of the corners for the screen of your calculator. So just ensure that your calculator is in radian mode instead of degrees. Second, some calculators may not have the second function. So it helps to remember what the second function is. So recall that the sea is actually the reciprocal of the cosine function. So what that means then is that if you're looking on your calculator and you don't see the second function, then another thing that you could put in for the second of 9.2694. Another way that you could get it is to put in your calculator, one divided by the cosine of 9.2694 radiance. So that's just another way that you could do it. So whatever you're doing, let's go ahead and put it into our calculator. When you do that, you should find that on your screen. You're seeing approximately 1.01219378662. Now we're almost there because we have to run our answer to four decimal places. So what that means is that we go to the fourth digit in our number. In this case, it would be one. When we look at the digit beside it, it's greater than five. So we're going to round up. So the four decimal places, our answer is approximately negative 1.0122. When we look back on our answer choices, that would have been answer choice. A thanks a lot for watching everyone. I hope this video helped.

Find a calculator approximation to four decimal places for each circular function value.
sec 7.3159

Key Concepts

Circular Functions

Secant Function

Calculator Approximations

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