# Find Amplitude, Period, and Phase Shift f(x)=1/7cot(8theta-120)

Find Amplitude, Period, and Phase Shift f(x)=1/7cot(8theta-120)
The function declaration varies according to , but the input function only contains the variable . Assume .
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 .
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: None
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### Name

Name five hundred sixty-two million eighty-three thousand eight hundred sixty-one

### Interesting facts

• 562083861 has 8 divisors, whose sum is 757866240
• The reverse of 562083861 is 168380265
• Previous prime number is 89

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 39
• Digital Root 3

### Name

Name two hundred sixty-nine million eight hundred ten thousand sixty-nine

### Interesting facts

• 269810069 has 4 divisors, whose sum is 270672396
• The reverse of 269810069 is 960018962
• Previous prime number is 313

### Basic properties

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

### Name

Name seven hundred eighteen million one hundred twenty thousand twelve

### Interesting facts

• 718120012 has 16 divisors, whose sum is 1618645032
• The reverse of 718120012 is 210021817
• Previous prime number is 563

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 22
• Digital Root 4