Find Amplitude, Period, and Phase Shift y=-2cot(pi/4x)

Find Amplitude, Period, and Phase Shift y=-2cot(pi/4x)
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 of .
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The period of the function can be calculated using .
Replace with in the formula for period.
is approximately which is positive so remove the absolute value
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
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:
List the properties of the trigonometric function.
Amplitude: None
Period:
Phase Shift: None
Vertical Shift: None
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Name

Name three hundred seventy-four million one hundred fifty-eight thousand four hundred forty-six

Interesting facts

  • 374158446 has 32 divisors, whose sum is 765573120
  • The reverse of 374158446 is 644851473
  • Previous prime number is 1277

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 42
  • Digital Root 6

Name

Name two hundred sixty-six million six hundred fifty-three thousand eight hundred seventy-seven

Interesting facts

  • 266653877 has 8 divisors, whose sum is 304913856
  • The reverse of 266653877 is 778356662
  • Previous prime number is 2027

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 50
  • Digital Root 5

Name

Name one billion five hundred thirty-five million eight hundred twenty-one thousand forty-eight

Interesting facts

  • 1535821048 has 16 divisors, whose sum is 5183396064
  • The reverse of 1535821048 is 8401285351
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 37
  • Digital Root 1