# Graph y=4cos(x)

Graph y=4cos(x)
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 .
Multiply by .
Find the point at .
Replace the variable with in the expression.
Simplify the result.
The exact value of is .
Multiply by .
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 cosine is negative in the second quadrant.
The exact value of is .
Multiply by .
Multiply by .
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 .
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 .
Multiply by .
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:
Do you know how to Graph y=4cos(x)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

### Name

Name four hundred eighty-eight million nine hundred thirty-four thousand seven hundred twenty-three

### Interesting facts

• 488934723 has 4 divisors, whose sum is 651912968
• The reverse of 488934723 is 327439884
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 48
• Digital Root 3

### Name

Name sixty-nine million seven hundred eighty-one thousand one hundred eighty-seven

### Interesting facts

• 69781187 has 4 divisors, whose sum is 79749936
• The reverse of 69781187 is 78118796
• Previous prime number is 7

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 8
• Sum of Digits 47
• Digital Root 2

### Name

Name seven hundred thirty-two million six hundred thirty-five thousand six hundred sixty-six

### Interesting facts

• 732635666 has 16 divisors, whose sum is 1256297856
• The reverse of 732635666 is 666536237
• Previous prime number is 6247

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 44
• Digital Root 8