# Find Amplitude, Period, and Phase Shift y=3sin(theta/4)-2

Find Amplitude, Period, and Phase Shift y=3sin(theta/4)-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 using the formula .
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 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 .
The period of addition/subtraction of trig functions is the maximum of the individual periods.
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 by .
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: None
Vertical Shift:
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### Name

Name one billion two hundred eighty-two million nine hundred fifty-five thousand eight hundred twenty-nine

### Interesting facts

• 1282955829 has 8 divisors, whose sum is 1312767360
• The reverse of 1282955829 is 9285592821
• Previous prime number is 179

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 51
• Digital Root 6

### Name

Name one billion four hundred ninety-nine million six hundred thirty-six thousand four hundred fifty-four

### Interesting facts

• 1499636454 has 8 divisors, whose sum is 2999272920
• The reverse of 1499636454 is 4546369941
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 51
• Digital Root 6

### Name

Name one billion two hundred forty-two million one hundred seven thousand nine hundred eighty-four

### Interesting facts

• 1242107984 has 64 divisors, whose sum is 6771878316
• The reverse of 1242107984 is 4897012421
• Previous prime number is 13

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 38
• Digital Root 2