# Graph y=sin(x+90)+2

Graph y=sin(x+90)+2
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 left)
Vertical Shift:
Select a few points to graph.
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Simplify each term.
The exact value of is .
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Simplify each term.
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.
Simplify each term.
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.
Simplify each term.
Subtract full rotations of until the angle is greater than or equal to and less than .
The exact value of is .
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Simplify each term.
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 left)
Vertical Shift:
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### Name

Name eight hundred sixty-one million three hundred thirty-seven thousand six hundred forty-one

### Interesting facts

• 861337641 has 16 divisors, whose sum is 1160928576
• The reverse of 861337641 is 146733168
• Previous prime number is 563

### Basic properties

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

### Name

Name sixty-six million eight hundred fifty-five thousand two hundred sixty-two

### Interesting facts

• 66855262 has 8 divisors, whose sum is 105561000
• The reverse of 66855262 is 26255866
• Previous prime number is 19

### Basic properties

• Is Prime? no
• Number parity even
• Number length 8
• Sum of Digits 40
• Digital Root 4

### Name

Name one hundred forty-one million seventy thousand three hundred eighty-five

### Interesting facts

• 141070385 has 8 divisors, whose sum is 176644800
• The reverse of 141070385 is 583070141
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 29
• Digital Root 2