# Find Amplitude, Period, and Phase Shift f(x)=tan(x/2)

Find Amplitude, Period, and Phase Shift f(x)=tan(x/2)
Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.
Since the graph of the function does not have a maximum or minimum value, there can be no value for the amplitude.
Amplitude: None
Find the period using the formula .
The period of the function can be calculated using .
Period:
Replace with in the formula for period.
Period:
Solve the equation.
is approximately which is positive so remove the absolute value
Period:
Multiply the numerator by the reciprocal of the denominator.
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:
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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### Name

Name one billion nine hundred thirty-four million nine hundred seventy-seven thousand six hundred two

### Interesting facts

• 1934977602 has 16 divisors, whose sum is 3870641952
• The reverse of 1934977602 is 2067794391
• Previous prime number is 6337

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 48
• Digital Root 3

### Name

Name four hundred fifty-five million six hundred twenty-nine thousand three hundred ninety

### Interesting facts

• 455629390 has 16 divisors, whose sum is 821207808
• The reverse of 455629390 is 093926554
• Previous prime number is 773

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 43
• Digital Root 7

### Name

Name one billion eighty-five million one hundred fifty-seven thousand two hundred sixty-five

### Interesting facts

• 1085157265 has 4 divisors, whose sum is 1302188724
• The reverse of 1085157265 is 5627515801
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 40
• Digital Root 4