In Exercises 39–48, use a calculator to find the value of the ...

Question

In Exercises 39–48, use a calculator to find the value of the trigonometric function to four decimal places.

sin 38°

Accepted Answer

Welcome back. I am so glad you're here. We're asked to determine the value of the trigonometric function by using a calculator and to express the answer in four decimal places, our trigonometric function is the sign of 12 degrees. Our answer choices are answer choice. A 0.3548. Answer choice. B 0.2593. Answer choice, C 0.2079 and answer choice D 0.1834. All right. So before you plug anything into your calculator, you wanna make sure that you are in the correct mode. So what mode should we be in? Well, it's 12 degrees. So you wanna make sure that you are in degrees mode and not radiance because that wouldn't be the right answer. So if you're in the correct mode, you just go ahead and hit sign on your calculator. It'll probably say sign and give you the first open parentheses. Type in 12, close your parentheses and hit enter. You should get something like 0.207911691. It might be longer, it might be shorter, but we only need the first four decimal places. So that's after the decimal point to the right. We have 2079 nine. Now that nine, the fourth decimal looks at the one to the right of it, which is in this case, a one, the one is not big enough to have it round up. So our answer is just 0.2079. Now we look at our answer choices and this matches with answer choice. C well done. We'll catch you on the next one.

In Exercises 39–48, use a calculator to find the value of the trigonometric function to four decimal places.
sin 38°

Key Concepts

Understanding the Sine Function

Using a Calculator for Trigonometric Values

Rounding to Four Decimal Places

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