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

Find Amplitude, Period, and Phase Shift y=-2cot(pi/4x)
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.
is approximately which is positive so remove the absolute value
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
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:
Multiply the numerator by the reciprocal of the denominator.
Phase Shift:
Multiply by .
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude: None
Period:
Phase Shift: None
Vertical Shift: None
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Name

Name seven hundred twenty-four million seven hundred ninety-eight thousand six hundred eighteen

Interesting facts

• 724798618 has 4 divisors, whose sum is 1087197930
• The reverse of 724798618 is 816897427
• Previous prime number is 2

Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 52
• Digital Root 7

Name

Name one billion six hundred forty-one million five hundred twenty-six thousand two hundred three

Interesting facts

• 1641526203 has 4 divisors, whose sum is 2188701608
• The reverse of 1641526203 is 3026251461
• Previous prime number is 3

Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 30
• Digital Root 3

Name

Name eight hundred forty-two million three hundred fifty-eight thousand two hundred thirty-seven

Interesting facts

• 842358237 has 16 divisors, whose sum is 1302753792
• The reverse of 842358237 is 732853248
• Previous prime number is 67

Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 42
• Digital Root 6