Find Amplitude, Period, and Phase Shift y=sin(2(theta+pi))

Find Amplitude, Period, and Phase Shift y=sin(2(theta+pi))
Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.
Find the amplitude .
Amplitude:
Find the period of .
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 .
Cancel the common factor.
Divide 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:
Cancel the common factor of and .
Factor out of .
Phase Shift:
Cancel the common factors.
Factor out of .
Phase Shift:
Cancel the common factor.
Phase Shift:
Rewrite the expression.
Phase Shift:
Divide by .
Phase Shift:
Phase Shift:
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift: None
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Name

Name one billion nine million two hundred sixty-nine thousand five hundred ninety-four

Interesting facts

• 1009269594 has 32 divisors, whose sum is 1702241280
• The reverse of 1009269594 is 4959629001
• Previous prime number is 163

Basic properties

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

Name

Name five hundred seventy million twenty-two thousand sixty-nine

Interesting facts

• 570022069 has 4 divisors, whose sum is 579683520
• The reverse of 570022069 is 960220075
• Previous prime number is 59

Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 31
• Digital Root 4

Name

Name eight hundred seventy-nine million two hundred fifty-four thousand sixteen

Interesting facts

• 879254016 has 4096 divisors, whose sum is 46625090400
• The reverse of 879254016 is 610452978
• Previous prime number is 29

Basic properties

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