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

Question

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

sin 1.0472

Accepted Answer

Welcome back everyone. In this problem, we want to determine the value of the trigonometric circular function sine 3.5789 with the help of a calculator. And we want to run our answer to four decimal places. And that function is the sine of 3.5789 radiance. For our answer choices A is negative 2.3613. B is 2.3613 C is 0.4235 and D is negative 0.4235. Now, to figure out what this trigonometric circular function is, we can use our calculator to help us. So that means that we're going to write the expression of the sine of 3.5789 directly into our calculator. Now remember that this is written in radiance. So on your calculator, you should see a button that says R ad or a mode that says R ad, make sure it's in that mode and not in degrees. Now, when you put this expression into your calculator, you should find that you get on your screen negative 0.423501741085. No, you're almost there. But remember we have to run our answer to four decimal places. So let's do that. That means we're going to go to the fourth digit in the number, which is five. When we look beside that digit, the number is less than five. So that means we're not going to round up, we're going to keep the digit. So our answer rounded to four decimal places would have been negative 0.4235. When we look back on our answer choices, that would have been answer choice. C Thanks a lot for watching everyone. I hope this video helped.

Find a calculator approximation to four decimal places for each circular function value.
sin 1.0472

Key Concepts

Circular Functions

Radians and Degrees

Calculator Approximations

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