Find Amplitude, Period, and Phase Shift y=4sin((8x)/5-pi/2)

Find Amplitude, Period, and Phase Shift y=4sin((8x)/5-pi/2)
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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Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Move to the left of .
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:
Phase Shift:
Move to the left of .
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 billion three hundred sixty million three hundred ninety-seven thousand seven hundred ninety-two

Interesting facts

  • 1360397792 has 128 divisors, whose sum is 11125179576
  • The reverse of 1360397792 is 2977930631
  • Previous prime number is 13

Basic properties

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

Name

Name one billion one hundred seventy-nine million nine hundred twenty-three thousand seven hundred seventy-eight

Interesting facts

  • 1179923778 has 32 divisors, whose sum is 3432506112
  • The reverse of 1179923778 is 8773299711
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 54
  • Digital Root 9

Name

Name four hundred fifty-three million seven hundred eighty-seven thousand four hundred ninety-one

Interesting facts

  • 453787491 has 16 divisors, whose sum is 626402304
  • The reverse of 453787491 is 194787354
  • Previous prime number is 47

Basic properties

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