What is the rectangular form of z= 40(cos(7pi/6)+ i sin(7pi/6)) a. z= 20-20i rt3

b. z= 20rt3 -20 i

c. z= -20rt3 -20 i

d. z= -20-20 i rt3

C.

Step-by-step explanation:

The rectangular form of a complex number is represented by the following formula:

(1)

Where each coefficient can be determined as function of the polar components:

(2)

(3)

Where:

- Magnitude of the complex number, dimensionless.

- Direction of the complex number, measured in radians.

If we know that and , then the rectangular form of the number is:

The rectangular form of is . The correct answer is C.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

practice. practice. practice.