# Find Amplitude, Period, and Phase Shift y=sin((6x)/7+1/6)

Find Amplitude, Period, and Phase Shift y=sin((6x)/7+1/6)
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 .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Move to the left of .
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 nine hundred ninety-four million eight hundred forty-four thousand three hundred eighty

### Interesting facts

• 994844380 has 32 divisors, whose sum is 2686854240
• The reverse of 994844380 is 083448499
• Previous prime number is 8461

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 49
• Digital Root 4

### Name

Name one hundred ninety million seven hundred sixty-one thousand seven hundred forty-one

### Interesting facts

• 190761741 has 8 divisors, whose sum is 213834360
• The reverse of 190761741 is 147167091
• Previous prime number is 113

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 36
• Digital Root 9

### Name

Name three hundred eighty-one million sixty-seven thousand two hundred eighty-four

### Interesting facts

• 381067284 has 128 divisors, whose sum is 1358477568
• The reverse of 381067284 is 482760183
• Previous prime number is 13

### Basic properties

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