# Find Amplitude, Period, and Phase Shift f(x) equals tan(one divide five x)

Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.

Since the Plot of the function does not have a maximum or minimum value, there can be no value for the amplitude.

Amplitude: None

Evaluate the period of function using .

Period:

Replace with in the formula for period.

Period:

Find solution to the equation.

is approximately which is positive so remove the absolute value

Period:

First, multiply the numerator by the denominator's reciprocal.

Period:

Move to the left of .

Period:

Period:

Period:

The phase shift of the function can be calculated from .

Phase Shift:

Replace the values of and in the equation for phase shift.

Phase Shift:

Multiply the numerator by the reciprocal of the denominator.

Phase Shift:

First, multiply by .

Phase Shift:

Phase Shift:

Find the vertical shift .

Vertical Shift:

List the properties of the trigonometric function.

Amplitude: None

Period:

Phase Shift: ( to the right)

Vertical Shift:

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