Inverse Cosecant Function Problems

The video tutorial explains how to evaluate expressions involving the inverse cosecant function. It covers the domain and range of the function and demonstrates how to convert inverse cosecant expressions into inverse sine expressions for easier evaluation. The tutorial provides step-by-step solutions for specific values, including -1, -2, √2, and 2√3/3, using the unit circle to find corresponding angles in degrees and radians.

What is the domain of the inverse cosecant function?

• x = 0

• x ≤ -1 or x ≥ 1

• x > 0

• x > -1 and x < 1

What is the range of the inverse cosecant function?

• y > -π/2 and y < π/2, y ≠ 0

• y < -π/2 or y > π/2

• y = 0

• y = π

What is the angle in degrees for inverse cosecant of -1?

• 270 degrees

• -90 degrees

• 180 degrees

• 90 degrees

What is the angle in radians for inverse cosecant of -1?

• -π/2 radians

• 3π/2 radians

• π/2 radians

• π radians

What is the sine function value for inverse cosecant of -2?

• 2

• -2

• 1/2

• -1/2

What is the angle in degrees for inverse cosecant of -2?

• -30 degrees

• 30 degrees

• 90 degrees

• 60 degrees

What is the sine function value for inverse cosecant of √2?

• √2/2

• 1/√2

• 2/√2

• √2

What is the angle in degrees for inverse cosecant of √2?

• 45 degrees

• 30 degrees

• 90 degrees

• 60 degrees

What is the sine function value for inverse cosecant of 2√3/3?

• √3/2

• 2/√3

• 2/3

• 3/2

What is the angle in degrees for inverse cosecant of 2√3/3?

• 60 degrees

• 30 degrees

• 45 degrees

• 90 degrees