Tangent Function Characteristics and Periods

The video tutorial explains how to find the amplitude and period of a tangent function. It clarifies that the tangent function does not have an amplitude due to its asymptotic nature. The period of the tangent function is affected by the B value, and the video demonstrates how to calculate the new period using fractions. The tutorial concludes with the correct period calculation for the given function.

What is the main task discussed in the video?

• Finding the amplitude and period of a cotangent function

• Finding the amplitude and period of a cosine function

• Finding the amplitude and period of a tangent function

• Finding the amplitude and period of a sine function

Why does the tangent function not have an amplitude?

• Because it is a constant function

• Because it rises and falls indefinitely

• Because it is a linear function

• Because it has a maximum and minimum value

What is the period of the parent tangent function?

• 2π

• π

• π/2

• 4π

What role do asymptotes play in the tangent function?

• They limit the function's range

• They make the function periodic

• They define the function's amplitude

• They cause the function to rise and fall indefinitely

How does the B value affect the period of a function?

• It subtracts from the period

• It multiplies the period

• It adds to the period

• It divides the period

What is the formula for calculating the new period of a tangent function?

• Normal period multiplied by B value

• Normal period divided by B value

• Normal period plus B value

• Normal period minus B value

What is the B value in the function discussed in the video?

• 0.5

• 0.4

• 0.2

• 0.3

How is 0.4 expressed as a fraction?

• 4/5

• 3/5

• 1/2

• 2/5

What is the final calculated period of the function?

• 5π/2

• 4π/2

• 6π/2

• 3π/2

Which choice correctly represents the period and amplitude of the function?

• Amplitude: None, Period: 5π/2

• Amplitude: 1, Period: 5π/2

• Amplitude: 1, Period: π

• Amplitude: None, Period: π