# 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 five hundred thirty-nine million five hundred four thousand nine hundred twenty-two

### Interesting facts

• 1539504922 has 8 divisors, whose sum is 2327440896
• The reverse of 1539504922 is 2294059351
• Previous prime number is 127

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 40
• Digital Root 4

### Name

Name one billion six hundred forty-three million ninety-seven thousand one hundred twenty-eight

### Interesting facts

• 1643097128 has 16 divisors, whose sum is 5545452834
• The reverse of 1643097128 is 8217903461
• 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 one billion three hundred sixteen million eight hundred fifty-four thousand three hundred ninety-six

### Interesting facts

• 1316854396 has 64 divisors, whose sum is 3492720000
• The reverse of 1316854396 is 6934586131
• Previous prime number is 307

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 46
• Digital Root 1