# Find Amplitude, Period, and Phase Shift y=2csc(x-pi)+1

Find Amplitude, Period, and Phase Shift y=2csc(x-pi)+1
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 using the formula .
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 .
Divide by .
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 .
Divide by .
The period of addition/subtraction of trig functions is the maximum of the individual periods.
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:
List the properties of the trigonometric function.
Amplitude: None
Period:
Phase Shift: ( to the right)
Vertical Shift:
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### Name

Name two billion eighty-four million three hundred thousand three hundred thirty-nine

### Interesting facts

• 2084300339 has 4 divisors, whose sum is 2273782200
• The reverse of 2084300339 is 9330034802
• Previous prime number is 11

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 32
• Digital Root 5

### Name

Name one billion seven hundred five million eighty-nine thousand seven hundred sixty-one

### Interesting facts

• 1705089761 has 4 divisors, whose sum is 1705790724
• The reverse of 1705089761 is 1679805071
• Previous prime number is 2441

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 44
• Digital Root 8

### Name

Name nine hundred sixty-seven million three hundred fifty-two thousand seventy-two

### Interesting facts

• 967352072 has 32 divisors, whose sum is 3377393820
• The reverse of 967352072 is 270253769
• Previous prime number is 29

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 41
• Digital Root 5