# Find Amplitude, Period, and Phase Shift y=csc(2x-pi)

Find Amplitude, Period, and Phase Shift y=csc(2x-pi)
Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.
Since the graph of the function does not have a maximum or minimum value, there can be no value for the amplitude.
Amplitude: None
Find the period of .
The period of the function can be calculated using .
Replace with in the formula for period.
The absolute value is the distance between a number and zero. The distance between and is .
Cancel the common factor of .
Cancel the common factor.
Divide 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:
Phase Shift:
List the properties of the trigonometric function.
Amplitude: None
Period:
Phase Shift: ( to the right)
Vertical Shift: None
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### Name

Name one billion four hundred sixty-two million four hundred ninety-four thousand seven hundred thirteen

### Interesting facts

• 1462494713 has 4 divisors, whose sum is 1464558180
• The reverse of 1462494713 is 3174942641
• Previous prime number is 709

### Basic properties

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

### Name

Name two hundred nineteen million two hundred twenty-two thousand one hundred sixteen

### Interesting facts

• 219222116 has 16 divisors, whose sum is 494398080
• The reverse of 219222116 is 611222912
• Previous prime number is 127159

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 26
• Digital Root 8

### Name

Name five hundred fifty-six million five hundred seventy-nine thousand five hundred seventy-nine

### Interesting facts

• 556579579 has 16 divisors, whose sum is 574133184
• The reverse of 556579579 is 975975655
• Previous prime number is 71

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 58
• Digital Root 4