Find Amplitude, Period, and Phase Shift y=1/4cos((2x)/7+1/3)

Find Amplitude, Period, and Phase Shift y=1/4cos((2x)/7+1/3)
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 .
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 .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move to the left of .
Find the phase shift using the formula .
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 .
Multiply and .
Phase Shift:
Multiply by .
Phase Shift:
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift: None
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Name

Name one hundred fifty-seven million six hundred five thousand four hundred fifty-two

Interesting facts

• 157605452 has 8 divisors, whose sum is 354612276
• The reverse of 157605452 is 254506751
• Previous prime number is 2

Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 35
• Digital Root 8

Name

Name one billion one hundred sixty-nine million four hundred eighteen thousand three hundred fifty-five

Interesting facts

• 1169418355 has 32 divisors, whose sum is 1713239424
• The reverse of 1169418355 is 5538149611
• Previous prime number is 113

Basic properties

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

Name

Name one billion seven hundred thirty-four million eight hundred fifty-nine thousand one hundred sixty-three

Interesting facts

• 1734859163 has 8 divisors, whose sum is 1933589520
• The reverse of 1734859163 is 3619584371
• Previous prime number is 19

Basic properties

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