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 six hundred fifty-nine million three hundred twenty-one thousand eight hundred fifty-four

Interesting facts

• 659321854 has 8 divisors, whose sum is 990316080
• The reverse of 659321854 is 458123956
• Previous prime number is 743

Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 43
• Digital Root 7

Name

Name five million ninety-nine thousand two hundred eighty-four

Interesting facts

• 5099284 has 32 divisors, whose sum is 12260160
• The reverse of 5099284 is 4829905
• Previous prime number is 43

Basic properties

• Is Prime? no
• Number parity even
• Number length 7
• Sum of Digits 37
• Digital Root 1

Name

Name one billion nine hundred thirty-one million nine hundred ninety-two thousand seven hundred thirteen

Interesting facts

• 1931992713 has 16 divisors, whose sum is 2167149840
• The reverse of 1931992713 is 3172991391
• Previous prime number is 613

Basic properties

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