# Find Amplitude, Period, and Phase Shift y=cot(x+(7pi)/6)

Find Amplitude, Period, and Phase Shift y=cot(x+(7pi)/6)
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 .
The period of the function can be calculated using .
Period:
Replace with in the formula for period.
Period:
Solve the equation.
The absolute value is the distance between a number and zero. The distance between and is .
Period:
Divide by .
Period:
Period:
Period:
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:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude: None
Period:
Phase Shift: ( to the left)
Vertical Shift:
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### Name

Name one billion two million two hundred ninety-six thousand nine hundred seventy-seven

### Interesting facts

• 1002296977 has 8 divisors, whose sum is 1096980192
• The reverse of 1002296977 is 7796922001
• Previous prime number is 307

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 43
• Digital Root 7

### Name

Name twenty-four million eight hundred twenty-two thousand fifty-five

### Interesting facts

• 24822055 has 4 divisors, whose sum is 29786472
• The reverse of 24822055 is 55022842
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 8
• Sum of Digits 28
• Digital Root 1

### Name

Name six hundred eighty-two thousand nine hundred ten

### Interesting facts

• 682910 has 16 divisors, whose sum is 1256256
• The reverse of 682910 is 019286
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity even
• Number length 6
• Sum of Digits 26
• Digital Root 8