Find Amplitude, Period, and Phase Shift y=3cos(0.5(x+pi))

Find Amplitude, Period, and Phase Shift y=3cos(0.5(x+pi))
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 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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The absolute value is the distance between a number and zero. The distance between and is .
Period:
Replace with an approximation.
Period:
Multiply by .
Period:
Divide by .
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:
Divide by .
Phase Shift:
Phase Shift:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift:
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Name

Name fourteen million four hundred eleven thousand one hundred ten

Interesting facts

  • 14411110 has 16 divisors, whose sum is 23203584
  • The reverse of 14411110 is 01111441
  • Previous prime number is 23

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 13
  • Digital Root 4

Name

Name one billion fifty-nine million seven hundred twenty-four thousand five hundred sixty-four

Interesting facts

  • 1059724564 has 32 divisors, whose sum is 2410948800
  • The reverse of 1059724564 is 4654279501
  • Previous prime number is 953

Basic properties

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

Name

Name one billion eight hundred forty-two million four hundred twenty-three thousand two hundred seventy-eight

Interesting facts

  • 1842423278 has 4 divisors, whose sum is 2763634920
  • The reverse of 1842423278 is 8723242481
  • Previous prime number is 2

Basic properties

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