# Find Amplitude, Period, and Phase Shift y=-1/2*cos(pix-pi/18)

Find Amplitude, Period, and Phase Shift y=-1/2*cos(pix-pi/18)
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.
is approximately which is positive so remove the absolute value
Period:
Cancel the common factor of .
Cancel the common factor.
Period:
Divide by .
Period:
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:
Multiply the numerator by the reciprocal of the denominator.
Phase Shift:
Cancel the common factor of .
Cancel the common factor.
Phase Shift:
Rewrite the expression.
Phase Shift:
Phase Shift:
Phase Shift:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
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### Name

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

### Interesting facts

• 1482751148 has 8 divisors, whose sum is 3336190092
• The reverse of 1482751148 is 8411572841
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 41
• Digital Root 5

### Name

Name eight hundred four million two hundred seventy thousand nine hundred forty-two

### Interesting facts

• 804270942 has 32 divisors, whose sum is 2147534208
• The reverse of 804270942 is 249072408
• Previous prime number is 773

### Basic properties

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

### Name

Name three hundred twenty-six million two hundred fifty-four thousand four hundred forty-six

### Interesting facts

• 326254446 has 64 divisors, whose sum is 689420160
• The reverse of 326254446 is 644452623
• Previous prime number is 7

### Basic properties

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