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

Find Amplitude, Period, and Phase Shift y=-3/2cos((3x)/4)
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 .
Combine and .
Multiply by .
Combine and .
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 by .
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: None
Vertical Shift: None
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Name

Name one billion eight hundred eighty-eight million eight hundred eighty thousand twenty

Interesting facts

• 1888880020 has 16 divisors, whose sum is 5099976108
• The reverse of 1888880020 is 0200888881
• Previous prime number is 5

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 43
• Digital Root 7

Name

Name seven hundred one million five hundred eighty-four thousand one hundred forty-nine

Interesting facts

• 701584149 has 8 divisors, whose sum is 1069080640
• The reverse of 701584149 is 941485107
• Previous prime number is 7

Basic properties

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

Name

Name one billion seven hundred fifty-five million four hundred fourteen thousand six hundred forty-four

Interesting facts

• 1755414644 has 8 divisors, whose sum is 3949682958
• The reverse of 1755414644 is 4464145571
• Previous prime number is 2

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 41
• Digital Root 5