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 .
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The period of the function can be calculated using .
Period:
Replace with in the formula for period.
Period:
Solve the equation.
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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 .
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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 four hundred ninety-one million three hundred fifty-eight thousand four hundred ninety-five

Interesting facts

  • 491358495 has 32 divisors, whose sum is 803639232
  • The reverse of 491358495 is 594853194
  • Previous prime number is 373

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 48
  • Digital Root 3

Name

Name one billion nine hundred two million nine hundred forty-four thousand five hundred seventy-one

Interesting facts

  • 1902944571 has 4 divisors, whose sum is 1960609592
  • The reverse of 1902944571 is 1754492091
  • Previous prime number is 33

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 42
  • Digital Root 6

Name

Name eight hundred twenty-six million three hundred sixty-nine thousand one hundred ten

Interesting facts

  • 826369110 has 64 divisors, whose sum is 2117016000
  • The reverse of 826369110 is 011963628
  • Previous prime number is 53

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 36
  • Digital Root 9