Write the complex number in the form a + bi. 6(cos 330° + i sin 330°)

The complex number  6(cos 330° + i sin 330°) in the form of a+bi is:

3√3-3 i

Step-by-step explanation:

6(cos 330° + i sin 330°)

= 6(cos(360°-30°)+ i sin(360°-30°))

=6(cos30°- i sin30°)   (since, 360°-30° lies in fourth quadrant and cos is positive there and sin is negative)

=

Distributing 6, we get

=3√3-3 i

Hence, the complex number  6(cos 330° + i sin 330°) in the form of a+bi is:

3√3-3 i

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.

the answer is the third / last answer

step-by-step explanation: