Find Amplitude, Period, and Phase Shift f(x)=tan(1/5x)

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 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 one billion six hundred eighty-two million seven hundred thirty-eight thousand three hundred thirty-two

Interesting facts

  • 1682738332 has 32 divisors, whose sum is 4133234304
  • The reverse of 1682738332 is 2338372861
  • Previous prime number is 1523

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 43
  • Digital Root 7

Name

Name one billion three hundred thirty-seven million seven hundred forty-nine thousand eighty-five

Interesting facts

  • 1337749085 has 4 divisors, whose sum is 1605298908
  • The reverse of 1337749085 is 5809477331
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 47
  • Digital Root 2

Name

Name one billion one hundred sixty-six million seven hundred four thousand five hundred forty-two

Interesting facts

  • 1166704542 has 32 divisors, whose sum is 3153835008
  • The reverse of 1166704542 is 2454076611
  • Previous prime number is 73

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 36
  • Digital Root 9