Find Amplitude, Period, and Phase Shift f(x)=sin(1/2x+pi/2)

Find Amplitude, Period, and Phase Shift f(x)=sin(1/2x+pi/2)
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.
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:
Cancel the common factor of .
Move the leading negative in into the numerator.
Phase Shift:
Cancel the common factor.
Phase Shift:
Rewrite the expression.
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 three hundred eighty-four million six hundred ninety-nine thousand eight hundred sixty-nine

Interesting facts

• 1384699869 has 16 divisors, whose sum is 2511928000
• The reverse of 1384699869 is 9689964831
• Previous prime number is 49

Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 63
• Digital Root 9

Name

Name eighty-six million three hundred sixty-five thousand one hundred ninety-four

Interesting facts

• 86365194 has 32 divisors, whose sum is 179283456
• The reverse of 86365194 is 49156368
• Previous prime number is 197

Basic properties

• Is Prime? no
• Number parity even
• Number length 8
• Sum of Digits 42
• Digital Root 6

Name

Name nine hundred twenty-five million seven hundred thousand three hundred eighty-six

Interesting facts

• 925700386 has 16 divisors, whose sum is 1496073600
• The reverse of 925700386 is 683007529
• Previous prime number is 2459

Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 40
• Digital Root 4