# Find Amplitude, Period, and Phase Shift y=sin(1/3(x-pi/6))

Find Amplitude, Period, and Phase Shift y=sin(1/3(x-pi/6))
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.
Multiply by .
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:
Cancel the common factor of .
Factor out of .
Phase Shift:
Cancel the common factor.
Phase Shift:
Rewrite the expression.
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 one billion three hundred seventy million six hundred sixty-two thousand four hundred forty-one

### Interesting facts

• 1370662441 has 4 divisors, whose sum is 1371917572
• The reverse of 1370662441 is 1442660731
• Previous prime number is 1093

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 34
• Digital Root 7

### Name

Name nine hundred ninety-one million ninety-eight thousand two hundred fifty-five

### Interesting facts

• 991098255 has 8 divisors, whose sum is 994165248
• The reverse of 991098255 is 552890199
• Previous prime number is 1051

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 48
• Digital Root 3

### Name

Name four hundred ninety-five million eight hundred eighty-nine thousand four hundred fifty-eight

### Interesting facts

• 495889458 has 16 divisors, whose sum is 994592736
• The reverse of 495889458 is 854988594
• Previous prime number is 353

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 60
• Digital Root 6