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

Find Amplitude, Period, and Phase Shift y=4sin((8x)/5-(5pi)/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 .
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 .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
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:
Multiply by .
Phase Shift:
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 eight hundred eight million nine hundred twelve thousand six hundred seventy-one

Interesting facts

• 808912671 has 8 divisors, whose sum is 1232628864
• The reverse of 808912671 is 176219808
• Previous prime number is 7

Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 42
• Digital Root 6

Name

Name one billion one hundred eighteen million nine hundred seventy thousand five hundred ninety-three

Interesting facts

• 1118970593 has 4 divisors, whose sum is 1205045268
• The reverse of 1118970593 is 3950798111
• Previous prime number is 13

Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 44
• Digital Root 8

Name

Name seven hundred twenty-one million eight hundred ninety-two thousand two hundred forty-eight

Interesting facts

• 721892248 has 256 divisors, whose sum is 3153572352
• The reverse of 721892248 is 842298127
• Previous prime number is 101

Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 43
• Digital Root 7