# Find Amplitude, Period, and Phase Shift y=4cos(3pix+2/5)

Find Amplitude, Period, and Phase Shift y=4cos(3pix+2/5)
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
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
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 .
Multiply and .
Phase Shift:
Multiply by .
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 forty million seven hundred forty-one thousand seven hundred sixty-eight

### Interesting facts

• 40741768 has 16 divisors, whose sum is 137503494
• The reverse of 40741768 is 86714704
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 8
• Sum of Digits 37
• Digital Root 1

### Name

Name four hundred thirty-eight million one hundred fifty-nine thousand two hundred seventy

### Interesting facts

• 438159270 has 16 divisors, whose sum is 797168880
• The reverse of 438159270 is 072951834
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 39
• Digital Root 3

### Name

Name one billion four hundred forty-seven million six hundred forty-two thousand four hundred sixty-one

### Interesting facts

• 1447642461 has 8 divisors, whose sum is 1932384384
• The reverse of 1447642461 is 1642467441
• Previous prime number is 881

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 39
• Digital Root 3