# Find Amplitude, Period, and Phase Shift y=1/2*cos(4x-(2pi)/3)

Find Amplitude, Period, and Phase Shift y=1/2*cos(4x-(2pi)/3)
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 using the formula .
The period of the function can be calculated using .
Period:
Replace with in the formula for period.
Period:
Solve the equation.
The absolute value is the distance between a number and zero. The distance between and is .
Period:
Cancel the common factor of and .
Factor out of .
Period:
Cancel the common factors.
Factor out of .
Period:
Cancel the common factor.
Period:
Rewrite the expression.
Period:
Period:
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:
Cancel the common factor of .
Factor out of .
Phase Shift:
Factor out of .
Phase Shift:
Cancel the common factor.
Phase Shift:
Rewrite the expression.
Phase Shift:
Phase Shift:
Multiply and .
Phase Shift:
Multiply by .
Phase Shift:
Phase Shift:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
Do you know how to Find Amplitude, Period, and Phase Shift y=1/2*cos(4x-(2pi)/3)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

### Name

Name one billion two million three hundred thirty-two thousand five hundred

### Interesting facts

• 1002332500 has 128 divisors, whose sum is 3637382112
• The reverse of 1002332500 is 0052332001
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 16
• Digital Root 7

### Name

Name two billion one hundred thirty million three hundred fifty-three thousand six hundred ninety-two

### Interesting facts

• 2130353692 has 16 divisors, whose sum is 4806149832
• The reverse of 2130353692 is 2963530312
• Previous prime number is 373

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 34
• Digital Root 7

### Name

Name three hundred eight million fifteen thousand three hundred sixty-eight

### Interesting facts

• 308015368 has 16 divisors, whose sum is 1039551894
• The reverse of 308015368 is 863510803
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 34
• Digital Root 7