# 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 three hundred seventy-six million eight hundred forty-six thousand five hundred eighty-six

### Interesting facts

• 376846586 has 8 divisors, whose sum is 573013524
• The reverse of 376846586 is 685648673
• Previous prime number is 73

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 53
• Digital Root 8

### Name

Name one hundred sixty-four million five hundred fifty-two thousand three hundred thirty-seven

### Interesting facts

• 164552337 has 16 divisors, whose sum is 244762560
• The reverse of 164552337 is 733255461
• Previous prime number is 251

### Basic properties

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

### Name

Name one billion nine hundred forty-six million four hundred thirty-six thousand four hundred eighty-six

### Interesting facts

• 1946436486 has 32 divisors, whose sum is 3944989440
• The reverse of 1946436486 is 6846346491
• Previous prime number is 4253

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 51
• Digital Root 6