# Find Amplitude, Period, and Phase Shift f(x)=tan(1/5x)

Find Amplitude, Period, and Phase Shift f(x)=tan(1/5x)
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.
is approximately which is positive so remove the absolute value
Period:
Multiply the numerator by the reciprocal of the denominator.
Period:
Move to the left of .
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:
Multiply the numerator by the reciprocal of the denominator.
Phase Shift:
Multiply 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 right)
Vertical Shift:
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### Name

Name one billion one hundred eighty-seven million forty-seven thousand seven hundred ninety-nine

### Interesting facts

• 1187047799 has 4 divisors, whose sum is 1356626064
• The reverse of 1187047799 is 9977407811
• Previous prime number is 7

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 53
• Digital Root 8

### Name

Name one billion nine hundred forty-one million two hundred sixty-nine thousand seven hundred fifty-three

### Interesting facts

• 1941269753 has 4 divisors, whose sum is 1942088820
• The reverse of 1941269753 is 3579621491
• Previous prime number is 2377

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 47
• Digital Root 2

### Name

Name one billion five hundred twenty-five million six hundred forty-eight thousand six hundred six

### Interesting facts

• 1525648606 has 4 divisors, whose sum is 2288472912
• The reverse of 1525648606 is 6068465251
• Previous prime number is 2

### Basic properties

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