# Graph y=sin(t)

Graph y=sin(t)
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.
The absolute value is the distance between a number and zero. The distance between and is .
Divide 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:
Divide 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:
Select a few points to graph.
Find the point at .
Replace the variable with in the expression.
Simplify the result.
The exact value of is .
Find the point at .
Replace the variable with in the expression.
Simplify the result.
The exact value of is .
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
The exact value of is .
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.
The exact value of is .
Multiply by .
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Subtract full rotations of until the angle is greater than or equal to and less than .
The exact value of is .
List the points in a table.
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
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### Name

Name eighty-five million five hundred seventy thousand four hundred six

### Interesting facts

• 85570406 has 8 divisors, whose sum is 128769264
• The reverse of 85570406 is 60407558
• Previous prime number is 311

### Basic properties

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

### Name

Name one billion five hundred twenty-three million five thousand eight hundred ninety-two

### Interesting facts

• 1523005892 has 8 divisors, whose sum is 3426763266
• The reverse of 1523005892 is 2985003251
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 35
• Digital Root 8

### Name

Name one billion nine hundred seventy-nine million seven hundred ninety-one thousand twenty-seven

### Interesting facts

• 1979791027 has 8 divisors, whose sum is 2002885920
• The reverse of 1979791027 is 7201979791
• Previous prime number is 4951

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 52
• Digital Root 7