# Find Amplitude, Period, and Phase Shift y=3cos(0.5(x+pi))

Find Amplitude, Period, and Phase Shift y=3cos(0.5(x+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 using the formula .
The period of the function can be calculated using .
Period:
Replace with in the formula for period.
Period:
Solve the equation.
The absolute value is the distance between a number and zero. The distance between and is .
Period:
Replace with an approximation.
Period:
Multiply by .
Period:
Divide by .
Period:
Period:
Period:
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:
Divide by .
Phase Shift:
Phase Shift:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift:
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### Name

Name two billion forty-three million three hundred ninety thousand eight hundred thirty-three

### Interesting facts

• 2043390833 has 4 divisors, whose sum is 2229153648
• The reverse of 2043390833 is 3380933402
• Previous prime number is 11

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 35
• Digital Root 8

### Name

Name one billion nine hundred eighty-one million one hundred ninety-three thousand four hundred fifty-seven

### Interesting facts

• 1981193457 has 4 divisors, whose sum is 2641591280
• The reverse of 1981193457 is 7543911891
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 48
• Digital Root 3

### Name

Name one billion one hundred twenty-four million nine hundred thirty-one thousand five hundred twenty-one

### Interesting facts

• 1124931521 has 8 divisors, whose sum is 1286750784
• The reverse of 1124931521 is 1251394211
• Previous prime number is 1163

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 29
• Digital Root 2