# Find Amplitude, Period, and Phase Shift y=2cos(pi/2x+pi/6)

Find Amplitude, Period, and Phase Shift y=2cos(pi/2x+pi/6)
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.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
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:
Factor out of .
Phase Shift:
Cancel the common factor.
Phase Shift:
Rewrite the expression.
Phase Shift:
Phase Shift:
Cancel the common factor of .
Factor out of .
Phase Shift:
Cancel the common factor.
Phase Shift:
Rewrite the expression.
Phase Shift:
Phase Shift:
Move the negative in front of the fraction.
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift: None
Do you know how to Find Amplitude, Period, and Phase Shift y=2cos(pi/2x+pi/6)? 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 nine hundred thirty-three million eight hundred seventy thousand nine hundred sixty-seven

### Interesting facts

• 933870967 has 4 divisors, whose sum is 933988896
• The reverse of 933870967 is 769078339
• Previous prime number is 109391

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 52
• Digital Root 7

### Name

Name thirty-five million sixty-nine thousand one hundred fifty-six

### Interesting facts

• 35069156 has 8 divisors, whose sum is 78905610
• The reverse of 35069156 is 65196053
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 8
• Sum of Digits 35
• Digital Root 8

### Name

Name five hundred seventy-nine million five hundred seventy-one thousand four hundred

### Interesting facts

• 579571400 has 64 divisors, whose sum is 2036824920
• The reverse of 579571400 is 004175975
• Previous prime number is 1213

### Basic properties

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