Inverse Cosine Function Concepts

The video tutorial explains how to evaluate expressions involving the inverse cosine function, also known as arc cosine. It covers the domain and range of the inverse cosine function and demonstrates how to find angles corresponding to specific cosine values on the unit circle. The tutorial provides examples for inverse cosine values of -√3/2, -1, √2/2, and 1/2, converting results into both degrees and radians.

What is the range of the inverse cosine function in degrees?

• 0 to 180 degrees

• 0 to 270 degrees

• 0 to 90 degrees

• 0 to 360 degrees

What is the domain of the inverse cosine function?

• -1 to 1

• -2 to 2

• 0 to 1

• All real numbers

Which of the following is not a possible output of the inverse cosine function?

• 2pi radians

• pi radians

• pi/2 radians

• 0 radians

Which angle corresponds to an inverse cosine value of negative square root three divided by two?

• 135 degrees

• 120 degrees

• 165 degrees

• 150 degrees

What is the radian measure for an angle with a cosine value of negative one?

• pi radians

• 2pi radians

• pi/2 radians

• 3pi/2 radians

What is the degree measure for an angle with a cosine value of negative one?

• 180 degrees

• 150 degrees

• 90 degrees

• 120 degrees

In which quadrant is the angle with a cosine value of square root two divided by two?

• Third quadrant

• Fourth quadrant

• First quadrant

• Second quadrant

What is the degree measure for an angle with a cosine value of square root two divided by two?

• 60 degrees

• 45 degrees

• 30 degrees

• 90 degrees

Which angle corresponds to an inverse cosine value of one half?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

What is the radian measure for an angle with a cosine value of one half?

• pi/3 radians

• pi/6 radians

• pi/2 radians

• pi/4 radians