Find Amplitude, Period, and Phase Shift y=4sin((2pix)/5-5/4)

Find Amplitude, Period, and Phase Shift y=4sin((2pix)/5-5/4)
Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.
Find the amplitude .
Amplitude:
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 .
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Multiply and .
Phase Shift:
Multiply by .
Phase Shift:
Multiply by .
Phase Shift:
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift: None
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Name

Name one hundred ninety-six million one hundred ninety-three thousand six hundred fifty

Interesting facts

  • 196193650 has 16 divisors, whose sum is 306670104
  • The reverse of 196193650 is 056391691
  • Previous prime number is 541

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 40
  • Digital Root 4

Name

Name one billion four hundred eighteen million seven hundred ninety thousand seven hundred forty-one

Interesting facts

  • 1418790741 has 8 divisors, whose sum is 1912976640
  • The reverse of 1418790741 is 1470978141
  • Previous prime number is 89

Basic properties

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

Name

Name one billion two hundred forty-three million six hundred forty-one thousand one hundred one

Interesting facts

  • 1243641101 has 4 divisors, whose sum is 1243741632
  • The reverse of 1243641101 is 1011463421
  • Previous prime number is 14447

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 23
  • Digital Root 5