In Exercises 1–26, find the exact value of each expression.

sin⁻...

Question

In Exercises 1–26, find the exact value of each expression.

sin⁻¹ 1/2

Accepted Answer

Hello everybody. I hope you're doing. All right. Today, today we're going to begin this question that states for the following trigonometric expression evaluate and give the answer as an exact value in radiance where our expression is the inverse sign of positive squared of three divided by two. Now the answers provided are a pi divided by two B pi divided by three C P divided by four and D pi divided by six. Now for a question like this, let's give ourselves an if and then situation. So if the inverse sign of a squared of three divided by two is equal to X, then regular sign of X is equal to the squared of three divided by two. So with this simple rule, we know how to change between inverse sign to regular sign. Now that we have a regular sign equation, we can refer to our unit circle. Now, it's very important to be able to recall values from the unit circle at any moment's notice. So let's recall from the unit circle and we can recall that sign of pi divided by three is equal to squared of three divided by two. And this is exactly what we want. So therefore, our X will be equal to pi divided by three which will function as the answer to our question or answer choice B. So a question like this shows us how important it is to be able to know our unit circle values. So we can apply it to equations. For example, we started with inverse sign. But once we turned that into a regular sign, all we needed to know was our unit circle values. So I hope that was helpful. And until next time.

In Exercises 1–26, find the exact value of each expression. sin⁻¹ 1/2

Key Concepts

Inverse Trigonometric Functions

Unit Circle

Special Angles

Watch next