In Exercises 27–38, use a calculator to find the value of each...

Question

In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places. sin⁻¹ (-0.32)

Accepted Answer

Hello, today we're gonna be evaluating the following expression. So what we are given is sign inverse of negative 0.87. Now, the easiest way to evaluate this is to use a calculator. But when you are evaluating trigonometric functions on the calculator, you always want to make sure that the mode of the calculator is in radiance. Now, when you type in sign inverse of negative 0.87 into a calculator, you're going to end up with a continuous decimal. The decimal that we get is negative 1. and so on. But we want to go ahead and simplify this value. The problem asks us to keep four significant figures of the decimal. What this means is that we want to keep four non-zero digits of the decimal. So the first non-zero digit of the decimal is going to be one and three digit three digits that come after the one is going to be 055. It's OK. If you have a zero between non two nonzero numbers, this is going to be considered a significant figure. So what we want to do is we want to run the value of negative 1.55. We're going to take a look at the number to the right of the last five and that number is two. That means that the last digit of five is going to stay unchanged. And the value of sine inverse of negative 0.87 is going to be negative 1.55. And with that being said, the answer to this problem is going to be D. 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.

In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places. sin⁻¹ (-0.32)

Key Concepts

Inverse Sine Function (sin⁻¹ or arcsin)

Domain and Range of the Inverse Sine Function

Using a Calculator to Evaluate Inverse Trigonometric Functions

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