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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
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