Use a calculator to approximate each value in decimal degrees....

Question

Use a calculator to approximate each value in decimal degrees.

θ = sin⁻¹ (-0.13349122)

Accepted Answer

Welcome back. I am so glad you're here. We're asked to estimate the value of theta by using a calculator express your answer in degrees rounded to the nearest 1000th. And we're given that theta equals the arc sign of then in parentheses, we have a negative 0.26938721. Our answer choices are answer choice. A negative 32.983 degrees. Answer choice B 24.037 degrees. Answer choice C negative 15.628 degrees and answer choice D 87.309 degrees. All right. So a few things here when you're using your calculator, we want our answer in degrees. So first make sure that you are in degrees mode, that's very important. Now, the next thing is we want to recall that arc sign is the same as the inverse sign. And on your calculator, it looks like this sign raced to the negative one. That's not sign race to the negative one. It's the inverse sign function. So you want to hit that and then I'll give you a start of a parenthesis and go ahead and just put in this negative 0.26938721 close parentheses and hit enter and you'll get an answer like negative 15.6278. That'll keep going. But we're rounding to the nearest 1000th. That's the third place, the third decimal point. So that here's a 77 looks to the eight and it's going to round up. So you'll have negative 15.628. And remember that that is in degrees. So there is our answer for angle theta we look at our answer choices and this matches with answer choice. See well done. We'll catch you on the next one.

Use a calculator to approximate each value in decimal degrees.
θ = sin⁻¹ (-0.13349122)

Key Concepts

Inverse Sine Function

Calculator Functions

Understanding Negative Values in Trigonometry

Watch next