Find Amplitude, Period, and Phase Shift y=sin((4x)/3+pi)

Find Amplitude, Period, and Phase Shift y=sin((4x)/3+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 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:
Combine and .
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 two hundred eighty-nine million five hundred eighty-nine thousand three hundred one

Interesting facts

• 289589301 has 4 divisors, whose sum is 321765900
• The reverse of 289589301 is 103985982
• Previous prime number is 9

Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 45
• Digital Root 9

Name

Name one billion five hundred ninety-four million twenty-four thousand one hundred seventy-four

Interesting facts

• 1594024174 has 4 divisors, whose sum is 2391036264
• The reverse of 1594024174 is 4714204951
• Previous prime number is 2

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 37
• Digital Root 1

Name

Name one billion one hundred ninety-seven million two hundred ninety-two thousand four hundred sixty-four

Interesting facts

• 1197292464 has 64 divisors, whose sum is 6734770920
• The reverse of 1197292464 is 4642927911
• Previous prime number is 9

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 45
• Digital Root 9