What are the intervals of the initial period of tangent and cotangent

The video tutorial explains how to find the period of tangent and cotangent functions, which is π. It discusses graphing these functions, focusing on their initial periods and how they repeat. The tutorial highlights the importance of initial periods in determining phase shifts and transformations. It provides a method to set transformations by equating the function's internal expression to start and end values, helping to identify new asymptotes.

What is the period of the tangent and cotangent functions?

• π/2

• π

• 3π

• 2π

Where does the initial period of the cotangent function start and end?

• X = 0 to X = π

• X = -π/2 to X = π/2

• X = π to X = 2π

• X = -π to X = 0

What is the starting point of the initial period of the tangent function?

• X = -π/2

• X = π

• X = 0

• X = π/2

How do you determine the new asymptotes after applying transformations to the cotangent function?

• By setting the function equal to -π and π

• By setting the function equal to 0 and π

• By setting the function equal to 0 and 2π

• By setting the function equal to -π/2 and π/2

What is the significance of the initial period in graphing transformations?

• It helps in determining the amplitude

• It is used to find the vertical shift

• It is used to find the phase shift

• It determines the frequency