# Find Amplitude, Period, and Phase Shift y=2cot(4x-pi)-2

Find Amplitude, Period, and Phase Shift y=2cot(4x-pi)-2
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 .
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 .
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:
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 one billion two hundred thirty-three million five hundred forty-eight thousand eight hundred sixty-nine

### Interesting facts

• 1233548869 has 16 divisors, whose sum is 1489100800
• The reverse of 1233548869 is 9688453321
• Previous prime number is 43

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 49
• Digital Root 4

### Name

Name one billion six hundred eighty-three million six hundred twenty-seven thousand two hundred sixty-four

### Interesting facts

• 1683627264 has 2048 divisors, whose sum is 52303242240
• The reverse of 1683627264 is 4627263861
• Previous prime number is 9

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 45
• Digital Root 9

### Name

Name one billion three hundred eleven million two hundred forty-two thousand six hundred one

### Interesting facts

• 1311242601 has 8 divisors, whose sum is 1758430080
• The reverse of 1311242601 is 1062421131
• Previous prime number is 173

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 21
• Digital Root 3