Inverse Secant Function Concepts

The video tutorial explains how to evaluate expressions involving the inverse secant function, also known as the arc secant function. It covers the domain and range of the inverse secant function and demonstrates how to evaluate specific expressions by converting them to inverse cosine. The tutorial includes examples of evaluating inverse secant for values such as positive one, negative two square root three divided by three, negative square root two, and two, using the unit circle and rationalization techniques.

What is the domain of the inverse secant function?

• x between -1 and 1

• x less than or equal to -1 or x greater than or equal to 1

• x less than or equal to 1

• x greater than or equal to -1

What is the range of the inverse secant function?

• y between 0 and pi, excluding pi/2

• y between -pi/2 and pi/2

• y between 0 and pi/2

• y between -pi and pi

What is the angle in radians for the inverse secant of positive one?

• pi/3 radians

• 0 radians

• pi/2 radians

• pi radians

How can inverse secant be rewritten for easier calculation?

• As inverse sine

• As inverse cosine

• As inverse tangent

• As inverse cotangent

What is the cosine value when evaluating inverse secant of negative two square root three divided by three?

• Negative square root three divided by two

• Square root three divided by two

• Negative one half

• One half

What is the angle in degrees for the inverse secant of negative two square root three divided by three?

• 90 degrees

• 120 degrees

• 60 degrees

• 150 degrees

What is the cosine value for the inverse secant of negative square root two?

• Square root two divided by two

• One

• Negative square root two divided by two

• Negative one

What is the angle in radians for the inverse secant of negative square root two?

• 3/4 pi radians

• pi/4 radians

• pi/2 radians

• pi radians

What is the cosine value for the inverse secant of two?

• One half

• Negative one half

• Negative one

• One

What is the angle in degrees for the inverse secant of two?

• 60 degrees

• 30 degrees

• 90 degrees

• 120 degrees