Inverse Cotangent and Cotangent Concepts

The video tutorial explains how to evaluate inverse cotangent function values using reference triangles and the unit circle. It covers the evaluation of inverse cotangent for values like -1, √3, -√3/3, and 0, detailing the process of finding corresponding angles in radians and degrees. The tutorial emphasizes the use of reference angles and triangles, particularly in the first and second quadrants, and discusses the importance of understanding the cotangent function's behavior on the coordinate plane.

What is the range of angles for the inverse cotangent function?

• 0 to 2π radians, excluding endpoints

• 0 to 2π radians, including endpoints

• 0 to π radians, excluding endpoints

• 0 to π radians, including endpoints

In which quadrant is the cotangent function positive?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

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

• π

• π/2

• 3π/4

• π/4

Which reference triangle is used to evaluate the inverse cotangent of √3?

• 60-60-60 triangle

• 45-45-90 triangle

• 30-60-90 triangle

• 90-90-90 triangle

What is the angle in degrees for the inverse cotangent of √3?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

How is the inverse cotangent of -√3/3 simplified for easier evaluation?

• By rationalizing the denominator

• By dividing by √3

• By multiplying by √3

• By rationalizing the numerator

What is the angle in radians for the inverse cotangent of -√3/3?

• 5π/6

• π/6

• 2π/3

• π/3

Which method is used to evaluate the inverse cotangent of 0?

• Reference triangles

• Unit circle

• Graph of cosine function

• Graph of sine function

What is the angle in degrees for the inverse cotangent of 0?

• 90 degrees

• 180 degrees

• 45 degrees

• 0 degrees

Where on the unit circle is the cotangent function value zero?

• At the origin

• On the positive x-axis

• On the positive y-axis

• On the negative y-axis