Find Amplitude, Period, and Phase Shift y=3csc(2x)+3/2

Find Amplitude, Period, and Phase Shift y=3csc(2x)+3/2
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 .
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Find the period of .
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The period of the function can be calculated using .
Replace with in the formula for period.
The absolute value is the distance between a number and zero. The distance between and is .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Find the period of .
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The period of the function can be calculated using .
Replace with in the formula for period.
The absolute value is the distance between a number and zero. The distance between and is .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
The period of addition/subtraction of trig functions is the maximum of the individual periods.
Find the phase shift using the formula .
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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:
List the properties of the trigonometric function.
Amplitude: None
Period:
Phase Shift: None
Vertical Shift:
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Name

Name three hundred eighty-one million five hundred thirty thousand four hundred seventy-seven

Interesting facts

  • 381530477 has 8 divisors, whose sum is 384980736
  • The reverse of 381530477 is 774035183
  • Previous prime number is 223

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 38
  • Digital Root 2

Name

Name one hundred sixty-nine million thirty-three thousand nine hundred sixty

Interesting facts

  • 169033960 has 128 divisors, whose sum is 707958144
  • The reverse of 169033960 is 069330961
  • Previous prime number is 53

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 37
  • Digital Root 1

Name

Name eight hundred sixty million three hundred sixteen thousand nine hundred thirty-five

Interesting facts

  • 860316935 has 8 divisors, whose sum is 1051859520
  • The reverse of 860316935 is 539613068
  • Previous prime number is 53

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 41
  • Digital Root 5