# Find Amplitude, Period, and Phase Shift y=3csc(theta/4+5)

Find Amplitude, Period, and Phase Shift y=3csc(theta/4+5)
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.
Multiply by .
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: ( to the left)
Vertical Shift: None
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### Name

Name one billion twenty-nine million one hundred forty-four thousand five hundred one

### Interesting facts

• 1029144501 has 16 divisors, whose sum is 1235584896
• The reverse of 1029144501 is 1054419201
• Previous prime number is 27

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 27
• Digital Root 9

### Name

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

### Interesting facts

• 1337951052 has 64 divisors, whose sum is 5368947840
• The reverse of 1337951052 is 2501597331
• Previous prime number is 313

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 36
• Digital Root 9

### Name

Name one billion four hundred million nine hundred eighty-six thousand six hundred ninety-five

### Interesting facts

• 1400986695 has 8 divisors, whose sum is 1495473408
• The reverse of 1400986695 is 5966890041
• Previous prime number is 1403

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 48
• Digital Root 3