Section 9.3

The Complex Plane;

De Moivre’s Theorem

OBJECTIVE 1

Plot the point corresponding to z = 3 – 2i in the complex plane.

OBJECTIVE 2

Write an expression for 3 3 3 in polar form.z i

Plot the point corresponding to 3 cos 60 sin 60 in the

complex plane and write an expression for in rectangular form.

z i

z

OBJECTIVE 3

If 8 cos 40 sin 40 and 2 cos 20 sin 20 ,

find the following (leave your answers in polar form):

(a) (b)

z i w i

zzw

w

OBJECTIVE 4

9Write 3 cos 40 sin 40 in standard form .i a bi

10

Write 1 3 in the standard form .i a bi

OBJECTIVE 5

Find the complex fourth roots of 2 2 .

Leave your answers in polar form, with the argument in degrees.

i