Inverse Cotangent and Cotangent Concepts

The video tutorial explains how to evaluate expressions involving inverse cotangent, focusing on angles in standard position on the unit circle. It covers the domain and range of inverse cotangent, and provides step-by-step evaluations for specific values: -1, √3, 0, and -√3/3. The tutorial emphasizes understanding the unit circle and simplifying fractions to find the correct angles in degrees and radians.

What is the domain of the inverse cotangent function?

• Numbers between -1 and 1

• Only negative numbers

• Only positive numbers

• All real numbers

What is the range of the inverse cotangent function in radians?

• 0 to π, including endpoints

• -π/2 to π/2, excluding endpoints

• -π/2 to π/2, including endpoints

• 0 to π, excluding endpoints

For which angle is the cotangent value equal to -1?

• 135 degrees

• 90 degrees

• 45 degrees

• 180 degrees

What is the angle in radians for inverse cotangent of square root three?

• π/6

• π/3

• π/2

• π/4

How do you simplify the division of two fractions with the same denominator?

• Multiply the numerators

• Subtract the numerators

• Divide the numerators

• Add the numerators

What is the angle in degrees for inverse cotangent of zero?

• 0 degrees

• 45 degrees

• 90 degrees

• 180 degrees

What is the angle in radians for inverse cotangent of zero?

• π

• π/2

• π/4

• 3π/2

What is the simplified form of negative square root three divided by three?

• 1/√3

• -√3/3

• -1/√3

• √3/3

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

• 60 degrees

• 90 degrees

• 120 degrees

• 30 degrees

What is the angle in radians for inverse cotangent of negative square root three divided by three?

• π/6

• π

• π/3

• 2π/3