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

Find Amplitude, Period, and Phase Shift y=4/5cos((pix)/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 .
Cancel the common factor.
Rewrite the expression.
Multiply by .
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 one hundred ninety million one hundred sixty-three thousand one hundred ten

Interesting facts

  • 1190163110 has 16 divisors, whose sum is 2145833856
  • The reverse of 1190163110 is 0113610911
  • Previous prime number is 607

Basic properties

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

Name

Name one billion four hundred thirty-four million eight hundred fourteen thousand seven hundred fifty-six

Interesting facts

  • 1434814756 has 16 divisors, whose sum is 3418235316
  • The reverse of 1434814756 is 6574184341
  • Previous prime number is 17

Basic properties

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

Name

Name six hundred sixty-three million two hundred eighteen thousand six hundred ninety-six

Interesting facts

  • 663218696 has 128 divisors, whose sum is 2596748544
  • The reverse of 663218696 is 696812366
  • Previous prime number is 337

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 47
  • Digital Root 2