Find Amplitude, Period, and Phase Shift y=-3/2cos((3x)/4)

Find Amplitude, Period, and Phase Shift y=-3/2cos((3x)/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.
Multiply .
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Combine and .
Multiply by .
Combine and .
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:
Period:
Phase Shift: None
Vertical Shift: None
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Name

Name one billion eight hundred eighty-eight million eight hundred eighty thousand twenty

Interesting facts

  • 1888880020 has 16 divisors, whose sum is 5099976108
  • The reverse of 1888880020 is 0200888881
  • Previous prime number is 5

Basic properties

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

Name

Name seven hundred one million five hundred eighty-four thousand one hundred forty-nine

Interesting facts

  • 701584149 has 8 divisors, whose sum is 1069080640
  • The reverse of 701584149 is 941485107
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 39
  • Digital Root 3

Name

Name one billion seven hundred fifty-five million four hundred fourteen thousand six hundred forty-four

Interesting facts

  • 1755414644 has 8 divisors, whose sum is 3949682958
  • The reverse of 1755414644 is 4464145571
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 41
  • Digital Root 5