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

Find Amplitude, Period, and Phase Shift f(x)=tan(1/5x)
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
Calculate the period using the formula .
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:
Find the phase shift using the formula .
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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