# 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 seven hundred twenty-one million five hundred sixteen thousand ninety-five

### Interesting facts

• 721516095 has 32 divisors, whose sum is 803464704
• The reverse of 721516095 is 590615127
• Previous prime number is 83

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 36
• Digital Root 9

### Name

Name seven hundred fifty-eight million nine hundred forty-three thousand one hundred fourteen

### Interesting facts

• 758943114 has 16 divisors, whose sum is 1518629952
• The reverse of 758943114 is 411349857
• Previous prime number is 2113

### Basic properties

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

### Name

Name one billion three hundred sixty-seven million two hundred thirty thousand two hundred eighty-one

### Interesting facts

• 1367230281 has 4 divisors, whose sum is 1822973712
• The reverse of 1367230281 is 1820327631
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 33
• Digital Root 6