Understand how to find the important characteristics of cotangent

The video tutorial covers transformations in trigonometric functions, focusing on phase shifts, vertical transformations, and the absence of amplitude in certain cases. It explains the cotangent function, identifying where it becomes undefined and how to calculate asymptotes with a period change. The tutorial also discusses the reflection of functions and demonstrates graphing techniques using Desmos.

What is the period of a cotangent function?

• 2π

• B/π

• π

• π/B

Where is the cotangent function undefined on the unit circle?

• At π/2 and 3π/2

• At 2π and 4π

• At π/4 and 3π/4

• At 0 and π

How do you find the asymptotes of a cotangent function with a period change?

• Set 4X equal to πn and solve for X

• Set 2X equal to πn and solve for X

• Set X equal to π/2n and solve for X

• Set X equal to 2πn and solve for X

What happens to the graph of a cotangent function when it is reflected?

• The graph remains unchanged

• The amplitude changes

• The asymptotes change

• The period changes

What is the significance of the negative sign in the cotangent function?

• It affects the amplitude

• It can be ignored for transformations

• It changes the phase shift

• It changes the period